{"id":"W7115003719","doi":"10.4064/aa250225-3-8","title":"Torsion of rational elliptic curves over the cyclotomic extensions of Q","year":2025,"lang":"","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Torsion (gastropod); Torsion subgroup; Elliptic curve; Abelian group; Isomorphism (crystallography); Prime (order theory); Algebraic number field","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":[0.0005857077,0.0007940347,0.0005716526,0.002379518,0.001211565,0.002206438,0.000495624,0.0005353306,0.004278007],"category_scores_gemma":[0.001403573,0.0003153843,0.0004088712,0.001429602,0.003212642,0.002438643,0.00173406,0.00107095,0.0006059902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008852464,"about_ca_system_score_gemma":0.000375701,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005434611,"about_ca_topic_score_gemma":0.0002992187,"domain_scores_codex":[0.9995416,0.00006782393,0.00002916865,0.00009240986,0.00007947576,0.0001894558],"domain_scores_gemma":[0.9993308,0.0001927256,0.0001862734,0.00007107262,0.00005308078,0.0001659911],"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":[0.0008630732,0.000170222,0.01671457,0.0001759849,0.00004754006,0.001937095,0.003390545,0.005518858,0.01813257,0.9062523,0.002090884,0.04470631],"study_design_scores_gemma":[0.0001730297,0.0003956257,0.01360794,0.0001830366,0.00007160546,0.002439536,0.002218745,0.01030153,0.00899097,0.9460743,0.01544346,0.0001002472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9758995,0.0006016199,0.006206224,0.0003311383,0.00005302352,0.00002175973,0.0001449768,0.00007117439,0.01667053],"genre_scores_gemma":[0.9946898,0.0003503037,0.001497098,0.0000379152,0.0001130988,0.00001861195,0.0002153104,0.00001632695,0.00306147],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004278007,"threshold_uncertainty_score":0.01431137,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0145089073055295,"score_gpt":0.2882234133662278,"score_spread":0.2737145060606982,"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."}}