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Associated to these data there is a Shimura curve of non-split Cartan level at $p$ and a CM point of conductor $f$ on it. We can also consider a CM point of conductor $pf$ on another Shimura curve, using a split Cartan level at $p$. These curves admit parametrizations to $E$ and taking the i"},"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":"1806.11337","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-06-29T10:34:53Z","cross_cats_sorted":[],"title_canon_sha256":"6ae7c303e904513005fed027618e272d81cd7f072d7f08456b497b6c12ae1fab","abstract_canon_sha256":"0503d6208811ca34ce48b3f7d580b9df75bc5e622fd70b0c1340719237a17308"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:06.623927Z","signature_b64":"qVyNYZcvyCFrm2eQKEY56vaGxrmVDP8H2JBO+xHd2gCL0h45o8N+868oLylcjkyAPBUa78uMG/x6U1ReHGI7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f1b535b9c2a7e5cab77ce46070effa8d8d11d08f8ca7f7141c468efb705b6d1","last_reissued_at":"2026-05-17T23:48:06.623515Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:06.623515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An unexpected trace relation of CM points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Daniel Kohen","submitted_at":"2018-06-29T10:34:53Z","abstract_excerpt":"Let $E/\\mathbb{Q}$ be an elliptic curve of conductor $N=p^2M$ where $p$ is an odd prime not dividing $M$. 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