KATZMANN, Circuit Judge:

Petitioner Leonard C. Johnson, proceeding pro se, seeks leave to file a successive 28 U.S.C. § 2255 motion challenging his amended judgment of conviction for armed bank robbery and carrying a firearm during a crime of violence. We hold that Johnson's proposed § 2255 motion would not be successive in light of the Supreme Court's decision in Magwood v. Patterson, ___ U.S. ___, 130 S.Ct. 2788, 177 L.Ed.2d 592 (2010), because it is his first § 2255 motion challenging the amended judgment of conviction, and that Magwood partially abrogates this Court's decision in Galtieri v. United States, 128 F.3d 33 (2d Cir. 1997). We therefore deny the successive application as unnecessary and transfer the matter to the district court with instructions that a new § 2255 motion be accepted for filing.

Background

In October 2000, Johnson was convicted of bank robbery, in violation of 18 U.S.C. § 2113(a), armed bank robbery, in violation of 18 U.S.C. § 2113(d), and using a firearm in connection with a crime of violence, in violation of 18 U.S.C. § 924(c). He was sentenced to concurrent imprisonment terms of 240 months and 274 months for his bank robbery and armed bank robbery convictions, and to a consecutive imprisonment term of 300 months for his firearm conviction. In November 2001, we affirmed Johnson's conviction and sentence. See United States v. Johnson, 24 FedAppx. 70 (2d Cir. 2001) (summary order).

In November 2002, Johnson filed a pro se § 2255 motion arguing that, inter alia, his convictions for both bank robbery and armed bank robbery constituted double jeopardy. After the district court denied this motion, we granted a certificate of appealability with respect to Johnson's double jeopardy claim and appointed counsel. In September 2008, we held that the district court erred in entering two separate convictions and concurrent sentences for both bank robbery under 18 U.S.C. § 2113(a) and armed bank robbery under 18 U.S.C. § 2113(d). See Johnson v. United States, 293 Fed.Appx. 789, 790 (2d Cir. 2008) (summary order). Accordingly, we modified Johnson's judgment of conviction by vacating his conviction and sentence under 18 U.S.C. § 2113(a), and affirmed the judgment as modified. Id. at 790-91.

In July 2010, Johnson filed the present application for leave to file a successive § 2255 motion. In his successive application, Johnson argues that this Court erroneously modified his judgment of conviction by vacating his conviction and sentence for bank robbery. Instead, he contends, we should have vacated his conviction and sentence for both armed bank robbery and for using a firearm in connection with a crime of violence. Additionally, Johnson argues that the indictment against him was defective and that he received ineffective assistance of counsel at various stages of his case.

Discussion

Under the Anti-Terrorism and Effective Death Penalty Act ("AEDPA"), a petitioner incarcerated pursuant to a federal judgment cannot bring a "second or successive" motion for habeas relief, unless he or she first obtains permission from a court of appeals. See 28 U.S.C. § 2255(h). Before determining whether to grant an application for leave to file a successive § 2255 motion, however, we must first determine whether the proposed motion would in fact be successive. See Stewart v. Martinez-Villareal, 523 U.S. 637, 639, 118 S.Ct. 1618, 140 L.Ed.2d 849 (1998).

In Galtieri v. United States, we considered whether a proposed § 2255 motion should be considered successive where, as here, a defendant's first § 2255 motion resulted in an amended criminal judgment. See 128 F.3d at 37. We held that where the amended judgment altered a portion of the sentence and did not affect the conviction,

[A] subsequent 2255 petition will be regarded as a `first' petition only to the extent that it seeks to vacate the new, amended component of the sentence, and will be regarded as a `second' petition to the extent that it challenges the underlying conviction or seeks to vacate any component of the original sentence that was not amended.

Id. at 37-38. We reasoned that such an approach prevented a defendant from raising claims in a second § 2255 motion that were available to be raised in his or her first § 2255 motion. Id. at 37.

Were we to apply Galtieri here, Johnson's proposed § 2255 motion would be successive. Although Johnson nominally seeks to challenge the amended judgment by claiming that his sentence was erroneously modified, he effectively seeks to relitigate his first § 2255 motion, contending that the original judgment should have been modified in a different way than we decided in our September 2008 summary order. Moreover, Johnson's present claims could have been raised in his first § 2255 motion.

We conclude, however, that our decision in Galtieri cannot be reconciled with the Supreme Court's recent decision in Mag-wood v. Patterson. In Magwood, after a state prisoner had filed a § 2254 petition challenging his Alabama murder conviction and death sentence, the district court conditionally granted his petition and vacated his death sentence. See Magwood, 130 S.Ct. at 2791-93. The trial court subsequently held new sentencing proceedings, and it again sentenced the state prisoner to death. Id. at 2793. He then filed a § 2254 petition challenging his new sentence on the ground that, inter alia, he did not have fair warning that his conduct would be sufficient to warrant a death sentence under Alabama law. Id. at 2794. The district court granted the petition, concluding that it was not successive under 28 U.S.C. § 2244(b) and that the state prisoner's fair warning claim was meritorious. Id. at 2794-95. The Eleventh Circuit reversed. Id. at 2795. The Eleventh Circuit adopted an approach similar to the approach taken in Galtieri, and concluded that the state prisoner's fair warning claim was successive because it could have been raised in his prior § 2254 petition. Id.

The Supreme Court rejected the Eleventh Circuit's interpretation of 28 U.S.C. § 2244(b) and reversed. Id. at 2803. The Court held that "the phrase `second or successive' must be interpreted with respect to the judgment challenged[,]" and that, where "there is a new judgment intervening between the two habeas petitions, . . . an application challenging the resulting new judgment is not `second or successive' at all." Id. at 2797, 2802 (internal quotation marks omitted). Additionally, the Court held that the phrase "second or successive" applies to entire habeas petitions, and not to individual claims in those petitions. Id. at 2798. The Court relied primarily on the statutory text, reasoning that "[t]he limitations imposed by § 2244(b) apply only to a `habeas corpus application under § 2254,' that is, an `application for a writ of habeas corpus on behalf of a person in custody pursuant to the judgment of a State court[.]'" Id. at 2797 (quoting 28 U.S.C. § 2254(b)(1)) (emphasis in original). Because the state prisoner's § 2254 petition was his first collateral attack on the "intervening judgment" between his first and second § 2254 petitions, the Court concluded that it was not successive under 28 U.S.C. § 2244(b). Id. at 2801, 2803.

We are called upon to decide whether the rule set out in Magwood applies to the case before us. To do so, we must first determine whether the holding in Magwood, which concerned a § 2254 petition, also applies to § 2255 motions. The Supreme Court's decision was based primarily on language in § 2254 that refers to a habeas petition filed "on behalf of a person in custody pursuant to the judgment of a State court." Id. at 2792; 28 U.S.C. § 2254(b)(1) (emphasis in original). Section 2255 does not contain a similar reference to the judgment of a federal court, referring only to "[a] prisoner in custody under sentence of a court established by Act of Congress[,]" and permitting such a prisoner to move "to vacate, set aside or correct the sentence." 28 U.S.C. § 2255(a) (emphasis added).

The term "sentence" in § 2255(a), however, does not have a materially different meaning than the term "judgment" in § 2254(b). These two terms are often used interchangeably. See Burton v. Stewart, 549 U.S. 147, 156, 127 S.Ct. 793, 166 L.Ed.2d 628 (2007) ("Final judgment in a criminal case means sentence. The sentence is the judgment.") (quoting Berman v. United States, 302 U.S. 211, 212, 58 S.Ct. 164, 82 L.Ed. 204 (1937)); Black's Law Dictionary (8th ed. 2004) (defining "sentence" as "[t]he judgment that a court formally pronounces after finding a criminal defendant guilty[,]" and noting that "sentence" is "[a]lso termed judgment of conviction[]"). As a practical matter, courts routinely allow federal prisoners to challenge their conviction, in addition to their sentence, under § 2255(a). For that purpose, the word "sentence" in § 2255(a) is understood to encompass both the conviction and the sentence. More generally, we have noted that "nothing in the AEDPA indicates that Congress intended the `second or successive' rules to operate differently with regard to state and federal prisoners." Urinyi v. United States, 607 F.3d 318, 321 (2d Cir. 2010). Accordingly, we conclude that the rule stated in Magwood applies to § 2255 motions.

We must also determine whether Magwood applies in a situation where, as here, a prisoner who successfully challenged his judgment of conviction in a prior § 2255 motion files a subsequent § 2255 motion challenging unamended portions of his underlying conviction and sentence. Because the petitioner in Magwood challenged only his sentence in the § 2254 petition he filed after his amended judgment, the Supreme Court explicitly declined to address the question of whether its reading of 28 U.S.C. § 2244(b) "would allow a petitioner who obtains a conditional writ as to his sentence to file a subsequent application challenging not only his resulting, new sentence, but also his original, undisturbed conviction." Magwood, 130 S.Ct. at 2802. Under Magwood, however, where "there is a new judgment intervening between the two habeas petitions, . . . an application challenging the resulting new judgment is not `second or successive' at all:" Id. (internal quotation marks omitted). And the Supreme Court has previously stated that "[a] judgment of conviction includes both the adjudication of guilt and the sentence." Deal v. United States, 508 U.S. 129, 132, 113 S.Ct. 1993, 124 L.Ed.2d 44 (1993). It follows that, where a first habeas petition results in an amended judgment, a subsequent petition is not successive regardless of whether it challenges the conviction, the sentence, or both.

Applying Magwood Johnson's proposed § 2255 motion would not be successive because it is his first § 2255 motion challenging the amended judgment of conviction. A different result is not warranted by the fact that Johnson's claims could have been raised in his prior § 2255 motion or the fact that he effectively challenges an unamended component of the judgment. In light of Magwood, we must interpret successive applications with respect to the judgment challenged and not with respect to particular components of that judgment. See Magwood 130 S.Ct. at 2797, 2802. To the extent that our decision in Galtieri is inconsistent with Magwood, it is no longer good law.

Conclusion

For the foregoing reasons, Johnson's application for leave to file a successive § 2255 motion is DENIED as unnecessary and the matter is transferred to the district court with instructions that a new § 2255 motion be accepted for filing.