-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '0.64476841424512978705073385832924306254', 'prec': 133}, 'abs_disc': 8, 'ainvs': '1,1;0,0;1,0;-1,-1;0,0', 'analytic_rank': 0, 'bad_primes': ['(w)', '(-w-1)'], 'base_change': [], 'class_deg': 27, 'class_label': '2.0.8.1-54.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(5*w+2)', 'conductor_label': '54.1', 'conductor_norm': 54, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-w-22)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+\\left(-a-1\\right){x}', 'field_label': '2.0.8.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9, 27], 'isogeny_matrix': [[1, 3, 9, 3], [3, 1, 27, 9], [9, 27, 1, 3], [3, 9, 3, 1]], 'jinv': '1619,-269/2', 'label': '2.0.8.1-54.1-a2', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-w-1)', 'cp': 1, 'kod': 4, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 5, 'ord_den_j': 0}], 'minD': '(-w-22)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 486, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '8.2065621241373079624830455823515237261', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 0.6851442021208198, 'semistable': False, 'sha': 1, 'short_class_label': '54.1-a', 'short_label': '54.1-a2', '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': 2296269123985132174}