{"id":"W3175243575","doi":"10.1112/s0010437x21007193","title":"Large families of elliptic curves ordered by conductor","year":2021,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; University of Toronto","funders":"","keywords":"Mathematics; Supersingular elliptic curve; Quotient; Schoof's algorithm; Elliptic curve; Conductor; Hessian form of an elliptic curve; Bounded function; Edwards curve; Sato–Tate conjecture; Discriminant; Modular elliptic curve; Counting points on elliptic curves; Pure mathematics; Combinatorics; Mathematical analysis; Quarter period; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001419784,0.0005478222,0.001056353,0.002692459,0.002085422,0.002566846,0.0009319386,0.0009150599,0.002739348],"category_scores_gemma":[0.01112232,0.0006827423,0.0007334652,0.001049561,0.003019677,0.004201747,0.00219323,0.001256452,0.0003126856],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001425329,"about_ca_system_score_gemma":0.0004225234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000581897,"about_ca_topic_score_gemma":0.0003603224,"domain_scores_codex":[0.9987705,0.0002563904,0.00004684621,0.0003421759,0.0003124158,0.0002716446],"domain_scores_gemma":[0.9902588,0.006040119,0.001330311,0.0008093289,0.000504213,0.001057307],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001874374,0.0003356557,0.1290563,0.0005720364,0.0002708216,0.003875259,0.005098133,0.06266758,0.05871595,0.6914563,0.00892,0.03715753],"study_design_scores_gemma":[0.0003242684,0.000679394,0.08419494,0.0002297599,0.0002309336,0.008670034,0.002683864,0.2617307,0.04089782,0.5787801,0.02130824,0.0002699825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9795235,0.0007440519,0.01440382,0.0005018436,0.00001902336,0.00001748658,0.0002181611,0.0001884217,0.004383706],"genre_scores_gemma":[0.9943448,0.0004301519,0.00304307,0.00007671896,0.00009587146,0.00004623673,0.0004774038,0.00005753069,0.001428086],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002739348,"threshold_uncertainty_score":0.01034153,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02650699646489148,"score_gpt":0.2902589599390332,"score_spread":0.2637519634741417,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}