Formats: - HTML - YAML - JSON - 2026-03-16T09:53:35.291834
Query: /api/ec_nfcurves/?_offset=0
Show schema

{'Lvalue': {'__RealLiteral__': 0, 'data': '3.04464930922685', 'prec': 54}, 'abs_disc': 17417, 'ainvs': '-3,-1,1,0;-3,-2,1,0;-2,-1,1,0;-279,-466,-74,79;230,384,60,-65', 'analytic_rank': 1, 'bad_primes': ['(w^2+w-1)'], 'base_change': [], 'class_deg': 4, 'class_label': '4.4.17417.1-5.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2+w-1)', 'conductor_label': '5.2', 'conductor_norm': 5, 'conductor_norm_factors': [5], 'degree': 4, 'disc': '(-20*w^3+65*w^2+72*w-89)', 'equation': '{y}^2+\\left(a^{2}-a-3\\right){x}{y}+\\left(a^{2}-a-2\\right){y}={x}^{3}+\\left(a^{2}-2a-3\\right){x}^{2}+\\left(79a^{3}-74a^{2}-466a-279\\right){x}-65a^{3}+60a^{2}+384a+230', 'field_label': '4.4.17417.1', 'galois_images': ['2Cs'], 'gens': ['[[-39/16,-59/16,-1/8,7/16],[1525/64,2417/64,155/32,-389/64],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.15685467290810320890090987332959361306', 'prec': 133}], 'id': 560698, 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], 'jinv': '-3495750181347/9765625,-56579150647/1953125,916149833587/1953125,-1311223770134/9765625', 'label': '4.4.17417.1-5.2-a1', 'local_data': [{'p': '(w^2+w-1)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(-20*w^3+65*w^2+72*w-89)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 9765625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1024.6758070276547697755670123508625099', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.15685467290810320890090987332959361306', 'prec': 133}, 'root_analytic_conductor': 14.421036629809683, 'semistable': True, 'sha': 1, 'short_class_label': '5.2-a', 'short_label': '5.2-a1', 'signature': [4, 0], 'tamagawa_product': 10, 'torsion_gens': ['[[-33/4,-65/4,-9/2,13/4],[-111/8,-187/8,-13/4,31/8],[1,0,0,0]]', '[[0,1/2,1/2,-1/4],[3/2,9/8,-1/2,0],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 343402190768370645}