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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.76684703614581', 'prec': 54}, 'abs_disc': 11344, 'ainvs': '3,-3,-2,1;3,2,-1,0;3,-3,-2,1;6,8,-1,-4;-6,-14,5,9', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w)'], 'base_change': [], 'class_deg': 3, 'class_label': '4.4.11344.1-18.1-e', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^3+2*w^2+2*w-3)', 'conductor_label': '18.1', 'conductor_norm': 18, 'conductor_norm_factors': [2, 3], 'degree': 4, 'disc': '(5*w^3-8*w^2-24*w+27)', 'equation': '{y}^2+\\left(a^{3}-2a^{2}-3a+3\\right){x}{y}+\\left(a^{3}-2a^{2}-3a+3\\right){y}={x}^{3}+\\left(-a^{2}+2a+3\\right){x}^{2}+\\left(-4a^{3}-a^{2}+8a+6\\right){x}+9a^{3}+5a^{2}-14a-6', 'field_label': '4.4.11344.1', 'galois_images': ['3B.1.1'], 'gens': ['[[-3,-1,3,-1],[3,0,-6,3],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.18381685681422703880935630908900257087', 'prec': 133}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '41897/54,60991/54,-90301/54,-97309/54', 'label': '4.4.11344.1-18.1-e2', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-w)', 'cp': 4, 'kod': -7, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 3}], 'minD': '(-5*w^3+8*w^2+24*w-27)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 39366, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '575.86310213867515209751623137746008135', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.18381685681422703880935630908900257087', 'prec': 133}, 'root_analytic_conductor': 13.659371772871335, 'semistable': False, 'sha': 1, 'short_class_label': '18.1-e', 'short_label': '18.1-e2', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-2,-1,1,0],[-1,-1,1,0],[1,0,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 996114409620170790}