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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.1449419694577842527956542461211258403', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,1;0,-1;1,0;-4834,6986;-375811,-450954', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.0.4.1-42250.6-f', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-135*w+155)', 'conductor_label': '42250.6', 'conductor_norm': 42250, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-157342804250000*w-11720407750000)', 'equation': '{y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\\left(6986i-4834\\right){x}-450954i-375811', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 3, 6, 2, 9, 18], [3, 1, 2, 6, 3, 6], [6, 2, 1, 3, 6, 3], [2, 6, 3, 1, 18, 9], [9, 3, 6, 18, 1, 2], [18, 6, 3, 9, 2, 1]], 'jinv': '2783266907131437289/20629882812500000,-8418015312387897223/20629882812500000', 'label': '2.0.4.1-42250.6-f4', 'local_data': [{'p': '(w+1)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(-w-2)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(2*w+1)', 'cp': 2, 'kod': 22, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}, {'p': '(2*w+3)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}], 'minD': '(11720407750000*w-157342804250000)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 24894126007080078125000000000, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.059581721373827340355434840170031273341', 'prec': 137}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.5622719809090007, 'semistable': False, 'sha': 1, 'short_class_label': '42250.6-f', 'short_label': '42250.6-f4', 'signature': [0, 1], 'tamagawa_product': 144, 'torsion_gens': ['[[369/4,-9],[-5,-369/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1210015142693037781}