-
ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '0.338223563919808', 'prec': 57}, 'abs_disc': 2000, 'ainvs': '-3,1,1,0;-1,-3,0,1;-2,1,1,0;135,-217,-152,119;2224,-1718,-1803,1098', 'analytic_rank': 0, 'bad_primes': [], 'base_change': [], 'class_deg': 50, 'class_label': '4.4.2000.1-1.1-a', 'class_size': 6, 'cm': -100, 'cm_type': -1, 'conductor_ideal': '(1)', 'conductor_label': '1.1', 'conductor_norm': 1, 'conductor_norm_factors': [], 'degree': 4, 'disc': '(1)', 'equation': '{y}^2+\\left(a^{2}+a-3\\right){x}{y}+\\left(a^{2}+a-2\\right){y}={x}^{3}+\\left(a^{3}-3a-1\\right){x}^{2}+\\left(119a^{3}-152a^{2}-217a+135\\right){x}+1098a^{3}-1803a^{2}-1718a+2224', 'field_label': '4.4.2000.1', 'galois_images': ['5B.1.4[2]'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10, 25, 50], 'isogeny_matrix': [[1, 5, 5, 10, 10, 2], [5, 1, 25, 2, 50, 10], [5, 25, 1, 50, 2, 10], [10, 2, 50, 1, 25, 5], [10, 50, 2, 25, 1, 5], [2, 10, 10, 5, 5, 1]], 'jinv': '-27212977933632,0,19691491018752,0', 'label': '4.4.2000.1-1.1-a2', 'local_data': [], 'minD': '(1)', 'n_bad_primes': 0, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 1, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.4201308176541933093511858756469928115', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 3.9962583004926095, 'semistable': True, 'sha': 25, 'short_class_label': '1.1-a', 'short_label': '1.1-a2', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[20,11/2,-8,-1/2],[39/4,-7/2,-4,7/4],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1548313613834815264}
Elliptic curve data - 4.4.2000.1-1.1-a2