-
ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.25871020580019', 'prec': 54}, 'abs_disc': 2304, 'ainvs': '-1,-3,1,1;-3,-4,1,1;0,0,0,0;0,9,-1,-3;2,-3,-6,-2', 'analytic_rank': 0, 'bad_primes': ['(w^3-4*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '4.4.2304.1-64.1-c', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w^3-6*w)', 'conductor_label': '64.1', 'conductor_norm': 64, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(8)', 'equation': '{y}^2+\\left(a^{3}+a^{2}-3a-1\\right){x}{y}={x}^{3}+\\left(a^{3}+a^{2}-4a-3\\right){x}^{2}+\\left(-3a^{3}-a^{2}+9a\\right){x}-2a^{3}-6a^{2}-3a+2', 'field_label': '4.4.2304.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 8, 8], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 2, 2], [8, 8, 4, 2, 1, 4], [8, 8, 4, 2, 4, 1]], 'jinv': '-62784,0,241408,0', 'label': '4.4.2304.1-64.1-c3', 'local_data': [{'p': '(w^3-4*w+1)', 'cp': 2, 'kod': -6, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 12, 'ord_den_j': 0}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 4096, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '483.34471902727347792137229895164107876', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 7.213603836290249, 'semistable': False, 'sha': 1, 'short_class_label': '64.1-c', 'short_label': '64.1-c3', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[1,1,0,0],[1,2,-1,-1],[1,0,0,0]]', '[[2,-1,-1,0],[0,2,1,0],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 104749796559337795}
Elliptic curve data - 4.4.2304.1-64.1-c3