{"id":"W2015207053","doi":"10.1006/jabr.2000.8375","title":"On Relations between Jacobians of Certain Modular Curves","year":2000,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Coset; Conjecture; Quotient; Homomorphism; Pure mathematics; Algebra over a field; Modular design; Modular form; Relation (database); Combinatorics; Computer science","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":[0.001699286,0.001047197,0.001151551,0.006275143,0.002649804,0.003440873,0.001730491,0.001475418,0.008526765],"category_scores_gemma":[0.006302934,0.0007507742,0.001066583,0.003705117,0.005394741,0.008622128,0.002594364,0.003389645,0.0007361576],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001714285,"about_ca_system_score_gemma":0.0005302252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001330841,"about_ca_topic_score_gemma":0.001301487,"domain_scores_codex":[0.9990396,0.0001900793,0.00005289176,0.0002653931,0.0002244225,0.0002276191],"domain_scores_gemma":[0.9955593,0.002238909,0.0008773307,0.0002140646,0.0003560924,0.0007543787],"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":[0.00006690944,0.00004555123,0.0008051198,0.00003997568,0.00001187839,0.0002650566,0.0008906294,0.0004340939,0.001208209,0.9917306,0.0005667113,0.003935345],"study_design_scores_gemma":[0.0000322742,0.0000471103,0.001668376,0.00002081886,0.0000206586,0.0002190167,0.000286487,0.001979014,0.0005965921,0.9932684,0.001839765,0.00002131775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8842489,0.001694998,0.03594612,0.001414926,0.0003106783,0.0000774398,0.0003128748,0.0001678611,0.07582632],"genre_scores_gemma":[0.9842762,0.0008858594,0.005279633,0.0001739155,0.0004702655,0.0000313051,0.0002625457,0.00007464462,0.00854557],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008526765,"threshold_uncertainty_score":0.02852488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02560460796107674,"score_gpt":0.2852621265960155,"score_spread":0.2596575186349387,"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."}}