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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.17268809958076', 'prec': 54}, 'abs_disc': 19821, 'ainvs': '0,0,0,0;-1,0,0,0;-1,-2,1/3,1/3;2,2,-14/3,4/3;-2,-3,14/3,-4/3', 'analytic_rank': 0, 'bad_primes': ['(-1/3*w^3-1/3*w^2+3*w+2)', '(-2/3*w^3+1/3*w^2+5*w)'], 'base_change': [], 'class_deg': 1, 'class_label': '4.4.19821.1-39.1-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3-w^2-7*w+6)', 'conductor_label': '39.1', 'conductor_norm': 39, 'conductor_norm_factors': [3, 13], 'degree': 4, 'disc': '(10/3*w^3-20/3*w^2-26*w+19)', 'equation': '{y}^2+\\left(\\frac{1}{3}a^{3}+\\frac{1}{3}a^{2}-2a-1\\right){y}={x}^{3}-{x}^{2}+\\left(\\frac{4}{3}a^{3}-\\frac{14}{3}a^{2}+2a+2\\right){x}-\\frac{4}{3}a^{3}+\\frac{14}{3}a^{2}-3a-2', 'field_label': '4.4.19821.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-100966400/1053,-882774016/3159,12132352/3159,111853568/3159', 'label': '4.4.19821.1-39.1-a1', 'local_data': [{'p': '(-1/3*w^3-1/3*w^2+3*w+2)', 'cp': 1, 'kod': 13, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(-2/3*w^3+1/3*w^2+5*w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-10/3*w^3+20/3*w^2+26*w-19)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': -255879, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '165.09932539881599504037863066055503288', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 19.887693131242866, 'semistable': True, 'sha': 1, 'short_class_label': '39.1-a', 'short_label': '39.1-a1', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 578698319928340917}
Elliptic curve data - 4.4.19821.1-39.1-a1