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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '0.959691660196194', 'prec': 57}, 'abs_disc': 1957, 'ainvs': '0,-3,0,1;1,8,1,-2;-1,-1,1,0;4,3,0,0;1,1,-1,1', 'analytic_rank': 0, 'bad_primes': ['(-2*w^3+w^2+6*w)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.1957.1-23.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w^3+w^2+6*w)', 'conductor_label': '23.1', 'conductor_norm': 23, 'conductor_norm_factors': [23], 'degree': 4, 'disc': '(2*w^3-w^2-6*w)', 'equation': '{y}^2+\\left(a^{3}-3a\\right){x}{y}+\\left(a^{2}-a-1\\right){y}={x}^{3}+\\left(-2a^{3}+a^{2}+8a+1\\right){x}^{2}+\\left(3a+4\\right){x}+a^{3}-a^{2}+a+1', 'field_label': '4.4.1957.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-109671331/23,-167270339/23,17211519/23,43532247/23', 'label': '4.4.1957.1-23.1-a2', 'local_data': [{'p': '(-2*w^3+w^2+6*w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 23, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-2*w^3+w^2+6*w)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -23, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '169.81933071338141742128181355589467408', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 5.849920254130594, 'semistable': True, 'sha': 1, 'short_class_label': '23.1-a', 'short_label': '23.1-a2', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[0,-1,0,0],[0,1,0,0],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 981141979262203275}
Elliptic curve data - 4.4.1957.1-23.1-a2