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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.46514089', 'prec': 34}, 'abs_disc': 993, 'ainvs': '0,1,0;4,1,-1;-4,1,1;8,-1,-2;-16,27,15', 'analytic_rank': 1, 'bad_primes': ['(-w+1)', '(2)'], 'base_change': [], 'class_deg': 1, 'class_label': '3.3.993.1-24.2-d', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w+2)', 'conductor_label': '24.2', 'conductor_norm': 24, 'conductor_norm_factors': [2, 3], 'degree': 3, 'disc': '(-4*w^2-4*w+8)', 'equation': '{y}^2+a{x}{y}+\\left(a^{2}+a-4\\right){y}={x}^{3}+\\left(-a^{2}+a+4\\right){x}^{2}+\\left(-2a^{2}-a+8\\right){x}+15a^{2}+27a-16', 'field_label': '3.3.993.1', 'galois_images': [], 'gens': ['[[-1,-1,0],[3,-2,-1],[1,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.032318780409793345884515383763368565833', 'prec': 137}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '719/6,-673/12,167/36', 'label': '3.3.993.1-24.2-d1', 'local_data': [{'p': '(-w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 8, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(4*w^2+4*w-8)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': -576, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '119.04682138569404527432230340782948054', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.032318780409793345884515383763368565833', 'prec': 137}, 'root_analytic_conductor': 4.78242738675742, 'semistable': True, 'sha': 1, 'short_class_label': '24.2-d', 'short_label': '24.2-d1', 'signature': [3, 0], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 210511513016165758}