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We prove this conjecture under the assumption that $E$ is semistable, the key novelty lying in the $2$-primary analysis when $n$ is even. For this analysis, we first relate the general case of the conjecture to a divisibility relation between $\\mathrm{deg}\\, \\phi$ and a certain congruenc"},"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":"1604.02165","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-07T20:17:07Z","cross_cats_sorted":[],"title_canon_sha256":"cb237e94d8310c8f6d46a14955465c024e760517724b7d02af44a9d11eaeda61","abstract_canon_sha256":"06a54d1dad2573bd7b92ba563a290b9cc0c1a4c75cd1ecf747a0555029789fe0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:25.389507Z","signature_b64":"raOQM9/uXfT1vVpjfYNhOIhFbnRRbZWJX4WySa4O4qHbvnpBIuRdDlZpPn/wI/2D/FJvPoUqoRZyXNdPOzkIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1487935fdb7363be7eea81c2ed031934d5f4473e541c034bc77f5a6f9fb529d4","last_reissued_at":"2026-05-18T00:03:25.389033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:25.389033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Manin-Stevens constant in the semistable case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kestutis Cesnavicius","submitted_at":"2016-04-07T20:17:07Z","abstract_excerpt":"Stevens conjectured that for every optimal parametrization $\\phi\\colon X_1(n) \\rightarrow E$ of an elliptic curve $E$ over $\\mathbb{Q}$ of conductor $n$, the pullback of some N\\'eron differential on $E$ is the differential associated to the normalized new eigenform that corresponds to the isogeny class of $E$. 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