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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.1283988117225933095400133007458368240', 'prec': 130}, 'abs_disc': 5, 'ainvs': '1,0;-1,0;0,0;1,0;0,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-3*w+2)', '(-3*w+1)'], 'base_change': ['55.a4', '275.a4'], 'class_deg': 8, 'class_label': '2.2.5.1-605.1-c', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-22*w+11)', 'conductor_label': '605.1', 'conductor_norm': 605, 'conductor_norm_factors': [5, 11], 'degree': 2, 'disc': '(-55)', 'equation': '{y}^2+{x}{y}={x}^{3}-{x}^{2}+{x}', 'field_label': '2.2.5.1', 'galois_images': ['2B'], 'gens': ['[[2,-1],[-4,2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.59612262310663940712038741071359873429', 'prec': 133}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '59319/55,0', 'label': '2.2.5.1-605.1-c2', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-3*w+2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-3*w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(55)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3025, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '16.930586768154499465168672972749495023', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.59612262310663940712038741071359873429', 'prec': 133}, 'root_analytic_conductor': 0.9909743176422298, 'semistable': True, 'sha': 1, 'short_class_label': '605.1-c', 'short_label': '605.1-c2', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[1,0],[0,-1],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 628263125298814485}