{"id":"W2517114996","doi":"10.1186/s40687-016-0074-9","title":"Elliptic curves of rank two and generalised Kato classes","year":2016,"lang":"en","type":"article","venue":"Research in the Mathematical Sciences","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Conjecture; Algebraic number field; Rank (graph theory); Combinatorics; Abelian group; Elliptic curve; Torsion (gastropod); Modular form; Shimura variety; Abelian variety; Modular group; Group (periodic table); Pure mathematics; Physics","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":[0.0003187094,0.0005427977,0.0003134075,0.00232511,0.001026298,0.002866008,0.0003678333,0.0005791973,0.005964217],"category_scores_gemma":[0.001794306,0.0002521095,0.000416418,0.001236622,0.003738371,0.003616891,0.002450411,0.001536093,0.0005244806],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001273698,"about_ca_system_score_gemma":0.0004164881,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001152126,"about_ca_topic_score_gemma":0.0008829015,"domain_scores_codex":[0.999648,0.00005920899,0.00001526404,0.00006849027,0.0001055758,0.0001034604],"domain_scores_gemma":[0.9990459,0.0001856977,0.0002566859,0.0001127458,0.0001033247,0.0002955598],"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":[0.0000817011,0.00001991209,0.002778956,0.00003863912,0.00001015122,0.000247965,0.0008026959,0.001535922,0.001971812,0.9825214,0.001056972,0.008933966],"study_design_scores_gemma":[0.00003599999,0.00005043217,0.006216469,0.00004977042,0.00001308564,0.0004843794,0.0006385586,0.005035671,0.0008944201,0.9755363,0.01099272,0.00005221549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9249458,0.0007445196,0.01202133,0.001138016,0.00007661943,0.00002919939,0.000163249,0.0001124778,0.06076879],"genre_scores_gemma":[0.9901484,0.0003030087,0.001353779,0.00009054122,0.0001085711,0.00001277464,0.00008443928,0.000020344,0.00787798],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005964217,"threshold_uncertainty_score":0.0199523,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2603291941400688,"score_gpt":0.4675465465579793,"score_spread":0.2072173524179105,"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."}}