-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.8927747658579186491030980026102347735', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,1;-1,-1;1,1;2479,2138;-123975,46031', 'analytic_rank': 0, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+3)', '(2*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.7.1-3872.14-d', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(22*w-66)', 'conductor_label': '3872.14', 'conductor_norm': 3872, 'conductor_norm_factors': [2, 11], 'degree': 2, 'disc': '(-94856080*w+201745456)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(2138a+2479\\right){x}+46031a-123975', 'field_label': '2.0.7.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '1519749586080622375/27437936768,-915988506230265125/54875873536', 'label': '2.0.7.1-3872.14-d5', 'local_data': [{'p': '(w)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-w+1)', 'cp': 2, 'kod': -16, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 20, 'ord_den_j': 8}, {'p': '(-2*w+3)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(2*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(94856080*w-201745456)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 39559797728608256, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '0.23917383216822351049721271033029803523', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.8649681129131173, 'semistable': False, 'sha': 4, 'short_class_label': '3872.14-d', 'short_label': '3872.14-d5', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[109/4,-111/4],[-335/8,109/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1389012372760077}