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Furthermore, if $p\\equiv 1\\text{ mod }12$ and $p\\neq 13$, the automorphism group is generated by the modular involution given by the normalizer of a non-split Cartan subgroup of $\\text{GL}_2(\\mathbb F_p)$. We also prove that for every $p\\geq 37$ such that $X_{ns}(p)$ has a CM rational point, the existence of an exceptional rational automorphism would give rise to an exceptional rational point on the modular curve $X_{ns}^+(p)$ a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1503.05165","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-03-17T18:55:56Z","cross_cats_sorted":[],"title_canon_sha256":"7ab98ce3d75b37ae458225043f9f47e0f3ff91ea845d8e7e9fe57a049483c921","abstract_canon_sha256":"436d7a57e31590522228e8869bf22987ab0bb174240c3479bb3fb0a3985fae1e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:37.435968Z","signature_b64":"0V5SOVHO1Jf2GAC9obIfgyYWkr5nydEzztl+zmchwWh5Wr/YRCcON0sihSENNnwh0XKmtYANKNUAZ1lgCrk/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"892b45fe2a67034cbf3ec070ea9742b8776f1075466cf32ed4b3f37f36f9b788","last_reissued_at":"2026-05-17T23:39:37.435432Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:37.435432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the automorphisms of the non-split Cartan modular curves of prime level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Valerio Dose","submitted_at":"2015-03-17T18:55:56Z","abstract_excerpt":"We study the automorphisms of the non-split Cartan modular curves $X_{ns}(p)$ of prime level $p$. 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