-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '0.89544168614164633553552553943578063799', 'prec': 133}, 'abs_disc': 57, 'ainvs': '1,0;0,-1;1,1;-317308,-96892;-7552974,-2306310', 'analytic_rank': 1, 'bad_primes': ['(w-4)', '(w+3)', '(4*w+13)', '(10*w-43)'], 'base_change': ['2166.a3', '342.c3'], 'class_deg': 12, 'class_label': '2.2.57.1-228.1-s', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-4*w+2)', 'conductor_label': '228.1', 'conductor_norm': 228, 'conductor_norm_factors': [2, 3, 19], 'degree': 2, 'disc': '(32832)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}-a{x}^{2}+\\left(-96892a-317308\\right){x}-2306310a-7552974', 'field_label': '2.2.57.1', 'galois_images': ['2Cs', '3B.1.2'], 'gens': ['[[-178,-54],[6414,1958],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.35495045195116794406035805256799879534', 'prec': 133}], 'iso_label': 's', 'iso_nlabel': 18, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 6, 4, 12, 12, 2, 4], [3, 1, 2, 12, 4, 4, 6, 12], [6, 2, 1, 6, 2, 2, 3, 6], [4, 12, 6, 1, 12, 3, 2, 4], [12, 4, 2, 12, 1, 4, 6, 3], [12, 4, 2, 3, 4, 1, 6, 12], [2, 6, 3, 2, 6, 6, 1, 2], [4, 12, 6, 4, 3, 12, 2, 1]], 'jinv': '57066625/32832,0', 'label': '2.2.57.1-228.1-s3', 'local_data': [{'p': '(w-4)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(w+3)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(4*w+13)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(10*w-43)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(32832)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 1077940224, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '9.5230706703525575400834697758307041135', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.35495045195116794406035805256799879534', 'prec': 133}, 'root_analytic_conductor': 2.621559343081027, 'semistable': True, 'sha': 1, 'short_class_label': '228.1-s', 'short_label': '228.1-s3', 'signature': [2, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-731/2,-445/4],[729/4,441/8],[1,0]]', '[[-11,-3],[5,1],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1520093383337701839}