-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.8589077934607340265638963082389849136', 'prec': 130}, 'abs_disc': 65, 'ainvs': '1,0;-1,0;0,0;-360,-102;3291,932', 'analytic_rank': 0, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.2.65.1-81.1-c', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(9)', 'conductor_label': '81.1', 'conductor_norm': 81, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(729)', 'equation': '{y}^2+{x}{y}={x}^{3}-{x}^{2}+\\left(-102a-360\\right){x}+932a+3291', 'field_label': '2.2.65.1', 'galois_images': ['2Cs', '3Nn'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '4913,0', 'label': '2.2.65.1-81.1-c3', 'local_data': [{'p': '(3)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(729)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 531441, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '23.049251509499912567317914268764828587', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.1613071318637025, 'semistable': False, 'sha': 4, 'short_class_label': '81.1-c', 'short_label': '81.1-c3', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-14,-4],[7,2],[1,0]]', '[[19/4,5/4],[-19/8,-5/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 306502456983900761}