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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.40258533', 'prec': 34}, 'abs_disc': 14641, 'ainvs': '2,0,-4,0,1;-4,-1,5,0,-1;3,0,-4,0,1;2,-2,0,0,0;-4,2,2,-1,0', 'analytic_rank': 0, 'bad_primes': ['(w^3-w^2-w+3)'], 'base_change': [], 'class_deg': 7, 'class_label': '5.5.14641.1-197.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3-w^2-w+3)', 'conductor_label': '197.1', 'conductor_norm': 197, 'conductor_norm_factors': [197], 'degree': 5, 'disc': '(w^3-w^2-w+3)', 'equation': '{y}^2+\\left(a^{4}-4a^{2}+2\\right){x}{y}+\\left(a^{4}-4a^{2}+3\\right){y}={x}^{3}+\\left(-a^{4}+5a^{2}-a-4\\right){x}^{2}+\\left(-2a+2\\right){x}-a^{3}+2a^{2}+2a-4', 'field_label': '5.5.14641.1', 'galois_images': ['7B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 7], 'isogeny_matrix': [[1, 7], [7, 1]], 'jinv': '2580360410/197,-6396331643/197,-11072273077/197,4553506873/197,4952748979/197', 'label': '5.5.14641.1-197.1-a2', 'local_data': [{'p': '(w^3-w^2-w+3)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 197, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(w^3-w^2-w+3)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [7], 'nonmax_rad': 7, 'normdisc': -197, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '8315.9284437658733875548560012667129886', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [7], 'reg': 1, 'root_analytic_conductor': 18.3387844711597, 'semistable': True, 'sha': 1, 'short_class_label': '197.1-a', 'short_label': '197.1-a2', 'signature': [5, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[1,0,0,0,0],[-2,-2,3,1,-1],[1,0,0,0,0]]'], 'torsion_order': 7, 'torsion_primes': [7], 'torsion_structure': [7], 'trace_hash': 1646083246352182486}
Elliptic curve data - 5.5.14641.1-197.1-a2