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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.8586226000290337852993448511312341680', 'prec': 130}, 'abs_disc': 57, 'ainvs': '1,0;0,0;1,0;-2,0;-1,0', 'analytic_rank': 1, 'bad_primes': ['(4*w+13)', '(10*w-43)'], 'base_change': ['57.c3', '3249.g3'], 'class_deg': 8, 'class_label': '2.2.57.1-57.1-g', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w+1)', 'conductor_label': '57.1', 'conductor_norm': 57, 'conductor_norm_factors': [3, 19], 'degree': 2, 'disc': '(57)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}-2{x}-1', 'field_label': '2.2.57.1', 'galois_images': ['2Cs'], 'gens': ['[[1687/1024,-581/1024],[-165371/32768,35441/32768],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.8927739222657200147159424863323145796', 'prec': 130}], 'iso_label': 'g', 'iso_nlabel': 6, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '389017/57,0', 'label': '2.2.57.1-57.1-g3', 'local_data': [{'p': '(4*w+13)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(10*w-43)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(57)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3249, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.846096355029995173492248644228147878', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '3.8927739222657200147159424863323145796', 'prec': 130}, 'root_analytic_conductor': 1.853722388775545, 'semistable': True, 'sha': 1, 'short_class_label': '57.1-g', 'short_label': '57.1-g3', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-1,0],[0,0],[1,0]]', '[[1/2,-1/4],[-3/4,1/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1992623440186417172}