{"id":"W7065686786","doi":"","title":"ELLIPTIC CURVES OF RANK TWO AND GENERALIZED KATO CLASSES","year":2016,"lang":"en","type":"article","venue":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Torsion (gastropod); Elliptic curve; Modular form; Rank (graph theory); Abelian group; Connection (principal bundle); Shimura variety","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003220421,0.0007162621,0.0003722601,0.002463241,0.001273557,0.00253396,0.0003990096,0.0006404012,0.004337078],"category_scores_gemma":[0.00125313,0.0002805135,0.0005182973,0.0013534,0.004533228,0.00313291,0.002533406,0.001615793,0.0003505208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001565333,"about_ca_system_score_gemma":0.0004908974,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001340375,"about_ca_topic_score_gemma":0.001115842,"domain_scores_codex":[0.999629,0.00005574692,0.00001620849,0.00007482791,0.0001129714,0.0001111792],"domain_scores_gemma":[0.9992346,0.0001186005,0.0002053901,0.00008832639,0.00007843663,0.0002747689],"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":[0.0001037625,0.00003328235,0.002984702,0.0000466186,0.00001360865,0.0003960716,0.0009991309,0.002095822,0.003657068,0.979022,0.001120956,0.00952702],"study_design_scores_gemma":[0.00005168621,0.0001081631,0.009406248,0.00004756873,0.0000176523,0.0007361524,0.0006714039,0.007350234,0.001513399,0.9693145,0.01071736,0.00006560379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9484826,0.000586045,0.007176126,0.0007712641,0.0000649053,0.00002527761,0.0001221537,0.00008218551,0.04268937],"genre_scores_gemma":[0.9895536,0.0002845665,0.001316233,0.00007130695,0.0001269939,0.00001519015,0.00007012127,0.00001293188,0.008549092],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004337078,"threshold_uncertainty_score":0.01450896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02683879812674249,"score_gpt":0.273551530236685,"score_spread":0.2467127321099426,"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."}}