Formats: - HTML - YAML - JSON - 2026-03-16T09:54:01.934306
Query: /api/ec_nfcurves/?_offset=0
Show schema

{'Lvalue': {'__RealLiteral__': 0, 'data': '2.06019335077156', 'prec': 54}, 'abs_disc': 17417, 'ainvs': '1,1,0,0;-5,2,3,-1;0,1,0,0;-100,87,45,-39;524,65,-362,-114', 'analytic_rank': 1, 'bad_primes': ['(-w^2+2)', '(w^2+w-1)'], 'base_change': [], 'class_deg': 4, 'class_label': '4.4.17417.1-10.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2-w-2)', 'conductor_label': '10.2', 'conductor_norm': 10, 'conductor_norm_factors': [2, 5], 'degree': 4, 'disc': '(-17*w^3+51*w^2+39*w-76)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^{3}+\\left(-a^{3}+3a^{2}+2a-5\\right){x}^{2}+\\left(-39a^{3}+45a^{2}+87a-100\\right){x}-114a^{3}-362a^{2}+65a+524', 'field_label': '4.4.17417.1', 'galois_images': ['2B'], 'gens': ['[[145,-80,-76,27],[1739,-960,-927,336],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.37595037927319716867413219536074420103', 'prec': 133}], 'id': 560713, 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], 'jinv': '1491241609966012887393/327680,493537656936056819913/65536,36868201279503059363/32768,-412041851931236474929/327680', 'label': '4.4.17417.1-10.2-a4', 'local_data': [{'p': '(-w^2+2)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(w^2+w-1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(5*w^2+14*w-8)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 327680, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '361.60475619291414885866194943428398616', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.37595037927319716867413219536074420103', 'prec': 133}, 'root_analytic_conductor': 15.726251957856386, 'semistable': True, 'sha': 1, 'short_class_label': '10.2-a', 'short_label': '10.2-a4', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-11,19/4,25/4,-5/4],[3,3/4,-19/8,-5/4],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1753046171504309240}