-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '11.076690056940344868883761426125615045', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,0;1,0;1,0;-405,0;4731,0', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+1)', '(-2*w+3)', '(2*w+1)', '(3)'], 'base_change': ['3234.v2', '462.e2'], 'class_deg': 4, 'class_label': '2.0.7.1-30492.5-r', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-132*w+66)', 'conductor_label': '30492.5', 'conductor_norm': 30492, 'conductor_norm_factors': [2, 3, 7, 11], 'degree': 2, 'disc': '(-6119866368)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-405{x}+4731', 'field_label': '2.0.7.1', 'galois_images': ['2Cs'], 'gens': ['[[7,8],[-36,32],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.039411059881924719147375335478563588291', 'prec': 137}], 'iso_label': 'r', 'iso_nlabel': 17, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '-7347774183121/6119866368,0', 'label': '2.0.7.1-30492.5-r3', 'local_data': [{'p': '(w)', 'cp': 14, 'kod': 18, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 14, 'ord_den_j': 14}, {'p': '(-w+1)', 'cp': 14, 'kod': 18, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 14, 'ord_den_j': 14}, {'p': '(-2*w+1)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-2*w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(6119866368)', 'n_bad_primes': 6, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 37452764362177511424, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.31615757496881956929436223998195112640', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.039411059881924719147375335478563588291', 'prec': 137}, 'root_analytic_conductor': 3.1241656373601385, 'semistable': True, 'sha': 1, 'short_class_label': '30492.5-r', 'short_label': '30492.5-r3', 'signature': [0, 1], 'tamagawa_product': 9408, 'torsion_gens': ['[[-25,0],[12,0],[1,0]]', '[[29/2,-21/4],[-31/4,21/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1044409928465746163}