{"id":"W246263613","doi":"10.1007/978-1-4614-1260-1_17","title":"Ranks of elliptic curves in cubic extensions","year":2011,"lang":"en","type":"book-chapter","venue":"","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Elliptic curve; Pure mathematics","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":[0.0005082091,0.001004114,0.0009270551,0.003118654,0.001866059,0.004055349,0.0009362493,0.0005736724,0.01752308],"category_scores_gemma":[0.001431065,0.0005738029,0.000400499,0.002750996,0.003224977,0.004787295,0.001911854,0.003210712,0.004168718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002125213,"about_ca_system_score_gemma":0.001111985,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001689111,"about_ca_topic_score_gemma":0.002547465,"domain_scores_codex":[0.9993638,0.00009237421,0.0000260431,0.00006335946,0.0003401933,0.0001141554],"domain_scores_gemma":[0.9996009,0.0001351155,0.00003770333,0.00005552379,0.00009868382,0.0000720902],"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":[0.00001545289,0.0000164336,0.00007565334,0.00007587314,0.000003071605,0.00003596484,0.0003208217,0.0004566625,0.0003422448,0.9683893,0.0101792,0.02008941],"study_design_scores_gemma":[0.00001150516,0.00001453973,0.0002955912,0.000043796,0.000006620396,0.0001269481,0.0001468412,0.0007612506,0.0003870138,0.9144112,0.08377764,0.00001702524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.06297868,0.01037505,0.01829343,0.003115671,0.001797925,0.00006232895,0.0004577811,0.0003813773,0.9025377],"genre_scores_gemma":[0.5341688,0.01041126,0.01143738,0.0005710938,0.003308776,0.00009351032,0.0006159204,0.0004081329,0.4389851],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01752308,"threshold_uncertainty_score":0.05862057,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07230199341073106,"score_gpt":0.2789644227147979,"score_spread":0.2066624293040668,"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."}}