{"id":"W2242659158","doi":"10.1017/cbo9780511756375.012","title":"Heegner Points and Elliptic Curves of Large Rank over Function Fields","year":2004,"lang":"en","type":"book-chapter","venue":"","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Rank (graph theory); Elliptic curve; Mathematics; Function (biology); Pure mathematics; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003670754,0.0002625299,0.0004624433,0.0001085217,0.00004186271,0.0000101425,0.00009127571,0.0004058819,0.02000956],"category_scores_gemma":[0.00007920955,0.0002177712,0.0001512842,0.00002578543,0.00007485726,0.00009405526,0.00007819301,0.0002871823,0.00009792134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001923093,"about_ca_system_score_gemma":0.00003136818,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005767898,"about_ca_topic_score_gemma":0.00001011922,"domain_scores_codex":[0.9989469,0.00001835519,0.0003699625,0.0002488018,0.0002471531,0.0001688493],"domain_scores_gemma":[0.9990429,0.0002727149,0.0002051146,0.0003586765,0.00005993324,0.00006067691],"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":[0.00004317617,0.00003947089,0.00001386551,0.001205318,0.0001504464,0.000004306834,0.00006518951,7.466132e-8,0.000004165536,0.9926878,0.005514371,0.0002718806],"study_design_scores_gemma":[0.0006009035,0.0000957482,0.00005731733,0.0008657323,0.0002514853,0.00001005661,0.0000205152,0.000001951088,0.0001078769,0.9873535,0.0103874,0.0002474839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.004298262,0.00242545,0.005146791,0.0001923087,0.0003183823,0.0003614003,0.00002774648,0.00008557556,0.9871441],"genre_scores_gemma":[0.0993703,0.001043176,0.0006667853,0.001042736,0.0001733342,0.000004892759,0.00003133958,0.00007134168,0.8975961],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.09507204,"threshold_uncertainty_score":0.9808863,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0199591106783037,"score_gpt":0.2584601930460552,"score_spread":0.2385010823677515,"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."}}