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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.12756523308851', 'prec': 54}, 'abs_disc': 1125, 'ainvs': '-2,1,1,0;-2,4,1,-1;0,-2,0,1;0,-6,1,2;-2,-9,1,3', 'analytic_rank': 1, 'bad_primes': ['(-2*w^3+w^2+7*w-2)'], 'base_change': [], 'class_deg': 3, 'class_label': '4.4.1125.1-89.3-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w^3+w^2+7*w-2)', 'conductor_label': '89.3', 'conductor_norm': 89, 'conductor_norm_factors': [89], 'degree': 4, 'disc': '(2*w^3-w^2-7*w+2)', 'equation': '{y}^2+\\left(a^{2}+a-2\\right){x}{y}+\\left(a^{3}-2a\\right){y}={x}^{3}+\\left(-a^{3}+a^{2}+4a-2\\right){x}^{2}+\\left(2a^{3}+a^{2}-6a\\right){x}+3a^{3}+a^{2}-9a-2', 'field_label': '4.4.1125.1', 'galois_images': ['3B.1.2'], 'gens': ['[[3,-4,-1,1],[9,-4,-2,1],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.0064140980211483264685894835297725584755', 'prec': 140}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '51251/89,246723/89,-10986/89,-79441/89', 'label': '4.4.1125.1-89.3-b2', 'local_data': [{'p': '(-2*w^3+w^2+7*w-2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 89, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-2*w^3+w^2+7*w-2)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -89, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1474.0844125343780183372939428680433091', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.0064140980211483264685894835297725584755', 'prec': 140}, 'root_analytic_conductor': 5.252772183659607, 'semistable': True, 'sha': 1, 'short_class_label': '89.3-b', 'short_label': '89.3-b2', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 693005975150885884}
Elliptic curve data - 4.4.1125.1-89.3-b2