-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.0403374913367121372113004097414911785', 'prec': 127}, 'abs_disc': 3, 'ainvs': '0,0;0,0;1,1;0,0;0,-1', 'analytic_rank': 0, 'bad_primes': ['(-2*w+1)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.3.1-729.1-CMb', 'class_size': 1, 'cm': -3, 'cm_type': 1, 'conductor_ideal': '(27)', 'conductor_label': '729.1', 'conductor_norm': 729, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-27*w+27)', 'equation': '{y}^2+\\left(a+1\\right){y}={x}^{3}-a', 'field_label': '2.0.3.1', 'galois_images': ['3B.1.1[2]'], 'gens': [], 'heights': [], 'iso_label': 'CMb', 'iso_nlabel': -2, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '0,0', 'label': '2.0.3.1-729.1-CMb1', 'local_data': [{'p': '(-2*w+1)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 729, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '8.1086282640626946408463030203876102362', 'prec': 127}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 0.804231469399433, 'semistable': False, 'sha': 1, 'short_class_label': '729.1-CMb', 'short_label': '729.1-CMb1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': ['[[0,0],[-1,0],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1416178038704793008}