-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.8675547837767431107177272993367561183', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,1;0,0;1,0;-44,-16;-124,-66', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(2*w+1)', '(2*w+3)', '(-5*w-4)'], 'base_change': [], 'class_deg': 6, 'class_label': '2.0.4.1-5330.7-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-17*w-71)', 'conductor_label': '5330.7', 'conductor_norm': 5330, 'conductor_norm_factors': [2, 5, 13, 41], 'degree': 2, 'disc': '(-1879407*w-1628551)', 'equation': '{y}^2+i{x}{y}+{y}={x}^{3}+\\left(-16i-44\\right){x}-66i-124', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[-3,-3],[-8,-3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.84101568909807998085427367720529527112', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'jinv': '-27604455638783311/6184349031250,-4422569053029273/6184349031250', 'label': '2.0.4.1-5330.7-b3', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+1)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2*w+3)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-5*w-4)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 41, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(1879407*w+1628551)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 6184349031250, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '1.1102972322546929609975091793543500128', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.84101568909807998085427367720529527112', 'prec': 133}, 'root_analytic_conductor': 1.5270397823841941, 'semistable': True, 'sha': 1, 'short_class_label': '5330.7-b', 'short_label': '5330.7-b3', 'signature': [0, 1], 'tamagawa_product': 36, 'torsion_gens': ['[[-4,0],[-1,6],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1858678495252205822}