{"id":"W1976171182","doi":"10.1090/s0002-9947-03-03283-5","title":"Cyclicity of CM elliptic curves modulo 𝑝","year":2003,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; Queen's University","funders":"","keywords":"Mathematics; Modulo; Elliptic curve; Edwards curve; Supersingular elliptic curve; Pure mathematics; Schoof's algorithm; Mathematical analysis; Quarter period; Discrete 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":[0.0005185827,0.0006075245,0.000333145,0.001674938,0.001096014,0.001998025,0.0004303911,0.0004389941,0.01762442],"category_scores_gemma":[0.001964469,0.0002153338,0.0004606472,0.000872267,0.001637512,0.001413448,0.001784302,0.001226269,0.003029424],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002023533,"about_ca_system_score_gemma":0.0008693381,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002020238,"about_ca_topic_score_gemma":0.001176591,"domain_scores_codex":[0.9994449,0.00008463689,0.00002253395,0.0001160817,0.0001700014,0.0001618485],"domain_scores_gemma":[0.9990255,0.0002568288,0.0001641,0.0001019942,0.0002790936,0.0001725567],"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":[0.0001355872,0.00002474333,0.0006651769,0.00006936473,0.000008531418,0.0002475769,0.0004033873,0.0008938015,0.002882173,0.9687194,0.004353731,0.02159656],"study_design_scores_gemma":[0.00007777879,0.0001449577,0.002792836,0.0001116222,0.00002369551,0.0005923024,0.0004662886,0.008234951,0.01084766,0.8974982,0.07914599,0.00006367012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5123357,0.001033232,0.03836794,0.002817608,0.0006756954,0.0001275166,0.0007598852,0.0006014076,0.4432811],"genre_scores_gemma":[0.9005738,0.0007655853,0.009241326,0.0005324506,0.0006933269,0.0001115374,0.0007895879,0.000255495,0.08703693],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01762442,"threshold_uncertainty_score":0.05895954,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02266775172853113,"score_gpt":0.2827686595389386,"score_spread":0.2601009078104075,"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."}}