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The locus of $C$, denoted by $\\L_n$, is an algebraic subvariety of the moduli space $\\M_2$. The space $\\L_2$ was studied in Shaska/V\\\"olklein and Gaudry/Schost. The space $\\L_3$ was studied in Shaska (2004) were an algebraic description was given as sublocus of $\\M_2$.\n  In this survey we"},"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":"1209.3187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-14T13:37:16Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"4b913475dc876fb4c03ad6689a3ee9f2484646299ac9310c11a2840654ec0827","abstract_canon_sha256":"d6c1f0af324def33206739626ec85da4ce6ad57f22c17a84f8a7b9034683c430"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:32.591413Z","signature_b64":"kGKl23lY/NpS7Nohc0HIEbC8n6cnxujIdkC95k8DA3wtMBvb2grpsxGLsu6JYb3eCuq0sSaOTG3M7cOhJHSWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2d4247756769a88409b9430614e6073dacca172b0e2e9a37cdac67b6d21571c","last_reissued_at":"2026-05-18T03:45:32.590738Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:32.590738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Genus two curves covering elliptic curves: a computational approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"T. Shaska","submitted_at":"2012-09-14T13:37:16Z","abstract_excerpt":"A genus 2 curve $C$ has an elliptic subcover if there exists a degree $n$ maximal covering $\\psi: C \\to E$ to an elliptic curve $E$. Degree $n$ elliptic subcovers occur in pairs $(E, E')$. The Jacobian $J_C$ of $C$ is isogenous of degree $n^2$ to the product $E \\times E'$. We say that $J_C$ is $(n, n)$-split. The locus of $C$, denoted by $\\L_n$, is an algebraic subvariety of the moduli space $\\M_2$. The space $\\L_2$ was studied in Shaska/V\\\"olklein and Gaudry/Schost. 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