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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.3768352334291490118928243494278557030', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,0;-1,-1;1,1;491,-409;5329,285', 'analytic_rank': 0, 'bad_primes': ['(-3*w+1)', '(3*w-2)', '(9*w-8)', '(2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.3.1-100156.4-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(350*w-84)', 'conductor_label': '100156.4', 'conductor_norm': 100156, 'conductor_norm_factors': [2, 7, 73], 'degree': 2, 'disc': '(2142514416*w-9650219446)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-409a+491\\right){x}+285a+5329', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-3278482882753907/6682049310818,-2913552868954332/3341024655409', 'label': '2.0.3.1-100156.4-b1', 'local_data': [{'p': '(-3*w+1)', 'cp': 4, 'kod': -10, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 12, 'ord_den_j': 6}, {'p': '(3*w-2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(9*w-8)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 73, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-9650219446*w+7507705030)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 77041369098105834436, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.29809357224378015307482788948044632602', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.7533943933537297, 'semistable': False, 'sha': 1, 'short_class_label': '100156.4-b', 'short_label': '100156.4-b1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-5/4,27],[1/8,-14],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2049758619838900692}