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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.4195568516559023765118755012813787431', 'prec': 130}, 'abs_disc': 40, 'ainvs': '0,0;0,-1;0,0;-181,56;-390,123', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.2.40.1-288.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(24,12*w)', 'conductor_label': '288.1', 'conductor_norm': 288, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(36864*w+170496)', 'equation': '{y}^2={x}^{3}-a{x}^{2}+\\left(56a-181\\right){x}+123a-390', 'field_label': '2.2.40.1', 'galois_images': ['2Cs'], 'gens': ['[[-14/9,1/3],[-170/27,2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.1478714753282151927868210350521028423', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, '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': '26331470648/6561,8323073360/6561', 'label': '2.2.40.1-288.1-a5', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 5, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(3,w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3,w+2)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(576*w+2664)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(2,w)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 15479341056, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '6.8704128007892633925471352969794995056', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '3.1478714753282151927868210350521028423', 'prec': 130}, 'root_analytic_conductor': 2.328180627007505, 'semistable': False, 'sha': 1, 'short_class_label': '288.1-a', 'short_label': '288.1-a5', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[-10,3],[0,0],[1,0]]', '[[9,-3],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 313924875917272268}