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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.1252385365978119991215434701057015187', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;-1,1;1,1;29,6;23,-45', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(2*w+1)', '(-3*w-2)', '(2*w+3)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.4.1-33800.8-e', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26*w-182)', 'conductor_label': '33800.8', 'conductor_norm': 33800, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(492544*w-463008)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+\\left(i+1\\right){y}={x}^{3}+\\left(i-1\\right){x}^{2}+\\left(6i+29\\right){x}-45i+23', 'field_label': '2.0.4.1', 'galois_images': [], 'gens': ['[[1,2],[5,-1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.24822166231566615472504669784501607173', 'prec': 133}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-428574/2197,10173824/2197', 'label': '2.0.4.1-33800.8-e1', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 3, 'ord_disc': 10, 'ord_den_j': 0}, {'p': '(2*w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(-3*w-2)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(2*w+3)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-492544*w+463008)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 456976000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.3849310122363205327396287315000427275', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.24822166231566615472504669784501607173', 'prec': 133}, 'root_analytic_conductor': 2.423247225928633, 'semistable': False, 'sha': 1, 'short_class_label': '33800.8-e', 'short_label': '33800.8-e1', 'signature': [0, 1], 'tamagawa_product': 6, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 554927340390397989}