{"id":"W2034507757","doi":"10.4153/cjm-2008-033-7","title":"Genus 2 Curves with Quaternionic Multiplication","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"Concordia University; European Commission; McGill University","keywords":"Mathematics; Genus; Complex multiplication; Pure mathematics; Elliptic curve; Discriminant; Construct (python library); Quaternion; Algebra over a field; Modular form; Abelian group; Reduction (mathematics); Arithmetic; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0005609148,0.0001377998,0.0003012839,0.0001902524,0.0001602554,0.00001502409,0.0002863706,0.00006160809,0.0002248069],"category_scores_gemma":[0.0005616475,0.0001035158,0.00008672045,0.0002084938,0.0001415229,0.0001431722,0.000007232336,0.000208794,0.00004848508],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008547977,"about_ca_system_score_gemma":0.0006075234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001142358,"about_ca_topic_score_gemma":0.001007049,"domain_scores_codex":[0.9989129,0.00004662123,0.0004679575,0.00008366589,0.0002460305,0.0002428073],"domain_scores_gemma":[0.9983019,0.0002958764,0.0004596334,0.0002867064,0.0002639456,0.0003918973],"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":[0.0002131016,0.002356255,0.08350045,0.01179872,0.003036258,0.007453042,0.07886524,0.0002854947,0.0007705714,0.5703282,0.2302413,0.01115137],"study_design_scores_gemma":[0.006112351,0.001765406,0.01464546,0.009444197,0.001205449,0.06902801,0.008585077,0.0006777702,0.009162067,0.8315728,0.04524263,0.002558778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9850071,0.0008756311,0.01135674,0.0004939009,0.0001119073,0.0002133452,0.000006572179,0.00001540943,0.001919358],"genre_scores_gemma":[0.9721742,0.0001155568,0.02664283,0.0001578357,0.0001117293,0.000005485755,0.000001632161,0.00003344008,0.0007572442],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2612447,"threshold_uncertainty_score":0.4221252,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04265811765617933,"score_gpt":0.2559074879002133,"score_spread":0.213249370244034,"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."}}