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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.57730083397187', 'prec': 54}, 'abs_disc': 5744, 'ainvs': '0,5,1,-1;1,1,-1,0;-1,-1,1,0;-12,43,7,-10;-34,112,18,-25', 'analytic_rank': 0, 'bad_primes': ['(w^2+w-1)'], 'base_change': [], 'class_deg': 4, 'class_label': '4.4.5744.1-16.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(4)', 'equation': '{y}^2+\\left(-a^{3}+a^{2}+5a\\right){x}{y}+\\left(a^{2}-a-1\\right){y}={x}^{3}+\\left(-a^{2}+a+1\\right){x}^{2}+\\left(-10a^{3}+7a^{2}+43a-12\\right){x}-25a^{3}+18a^{2}+112a-34', 'field_label': '4.4.5744.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '-5829552,10084448,31222448,9914144', 'label': '4.4.5744.1-16.1-a3', 'local_data': [{'p': '(w^2+w-1)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(4)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 256, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '637.55914052496345723321218975544401221', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 9.577689796712301, 'semistable': False, 'sha': 1, 'short_class_label': '16.1-a', 'short_label': '16.1-a3', 'signature': [4, 0], 'tamagawa_product': 3, 'torsion_gens': ['[[2,-15/2,-1,3/2],[15/4,-39/4,-9/4,5/2],[1,0,0,0]]', '[[-1,4,1,-1],[-1,5,0,-1],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 567558078590767393}