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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.96087267230337136219877085456686809894', 'prec': 133}, 'abs_disc': 13, 'ainvs': '1,0;1,0;0,0;-4,0;-5,0', 'analytic_rank': 1, 'bad_primes': ['(-w)', '(-w+1)', '(-2*w+1)'], 'base_change': ['39.a3', '507.a3'], 'class_deg': 8, 'class_label': '2.2.13.1-117.1-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-6*w+3)', 'conductor_label': '117.1', 'conductor_norm': 117, 'conductor_norm_factors': [3, 13], 'degree': 2, 'disc': '(1521)', 'equation': '{y}^2+{x}{y}={x}^{3}+{x}^{2}-4{x}-5', 'field_label': '2.2.13.1', 'galois_images': ['2Cs'], 'gens': ['[[28,-13],[-209,91],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.63367185922566975552657539588123076122', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '10218313/1521,0', 'label': '2.2.13.1-117.1-b3', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-2*w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(1521)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2313441, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '10.934604839215710329819537303142719046', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.63367185922566975552657539588123076122', 'prec': 133}, 'root_analytic_conductor': 1.0596359768954364, 'semistable': True, 'sha': 1, 'short_class_label': '117.1-b', 'short_label': '117.1-b3', 'signature': [2, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-5/4,0],[5/8,0],[1,0]]', '[[3,-2],[7,-3],[1,0]]'], 'torsion_order': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4], 'trace_hash': 1008231440173780201}