-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '3.4276844601643616795688378653162207061', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,0;0,1;0,0;-8462,-4707;-234502,-291111', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+3)', '(2*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.7.1-5324.6-d', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-44*w+66)', 'conductor_label': '5324.6', 'conductor_norm': 5324, 'conductor_norm_factors': [2, 11], 'degree': 2, 'disc': '(2835121520*w-3162169296)', 'equation': '{y}^2+{x}{y}={x}^{3}+a{x}^{2}+\\left(-4707a-8462\\right){x}-291111a-234502', 'field_label': '2.0.7.1', 'galois_images': ['2B'], 'gens': ['[[-56,-13],[30,8],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.9649547880934907917451351156109314591', 'prec': 130}], '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': '2.0.7.1-5324.6-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': 12, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(-2*w+3)', 'cp': 4, 'kod': -12, 'red': 0, 'normp': 11, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 14, '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': '(-2835121520*w+3162169296)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 17110008501926506496, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '0.14422724744971488891649232405174987429', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.9649547880934907917451351156109314591', 'prec': 130}, 'root_analytic_conductor': 2.0195150091296186, 'semistable': False, 'sha': 1, 'short_class_label': '5324.6-d', 'short_label': '5324.6-d5', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-225/4,-13],[225/8,13/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1686367337376013592}