{"id":"W1994344866","doi":"10.1016/j.jnt.2006.08.007","title":"Elliptic divisibility sequences over certain curves","year":2006,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Divisibility rule; Mathematics; Elliptic curve; Divisor (algebraic geometry); Integer (computer science); Pure mathematics; Sequence (biology); Supersingular elliptic curve; Hessian form of an elliptic curve; Combinatorics; Schoof's algorithm; Discrete mathematics; Quarter period; 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005742949,0.0001809961,0.0004182978,0.0001056887,0.00008761004,0.00005523205,0.0005082961,0.00009089005,0.009958845],"category_scores_gemma":[0.002146734,0.0001325225,0.0002729085,0.0002488865,0.0002693023,0.0003289601,0.00008438934,0.0005115424,0.0001477521],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001267249,"about_ca_system_score_gemma":0.0001201901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000149245,"about_ca_topic_score_gemma":0.00001058886,"domain_scores_codex":[0.9969304,0.0009966512,0.0007763148,0.0001644507,0.0007755266,0.0003566156],"domain_scores_gemma":[0.9943676,0.004339957,0.0004945544,0.0003973073,0.0002883899,0.0001122196],"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":[0.0004986888,0.0009598165,0.02835881,0.0008475904,0.0002268443,0.000329795,0.0004827972,0.0000159668,0.001852014,0.8389839,0.1258497,0.001594093],"study_design_scores_gemma":[0.0003850243,0.00008083213,0.005495782,0.0003820396,0.0000545674,0.0002337113,0.0001538545,0.00002201064,0.0005234673,0.9900667,0.00244705,0.0001549797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9606947,0.0008394876,0.001514468,0.0003380125,0.0002372552,0.0001873935,0.00004096278,0.00003757861,0.03611013],"genre_scores_gemma":[0.9915515,0.00006894352,0.002641837,0.0001753354,0.0004836447,0.000004236293,0.000003598471,0.00003908718,0.00503183],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1510828,"threshold_uncertainty_score":0.9909462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04953379832781772,"score_gpt":0.3626753936608652,"score_spread":0.3131415953330474,"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."}}