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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.0129355760590935370432168508168262190', 'prec': 130}, 'abs_disc': 40, 'ainvs': '0,1;-1,0;0,1;-31,0;-69,0', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(5,w)'], 'base_change': ['200.c1', '320.c1'], 'class_deg': 4, 'class_label': '2.2.40.1-40.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w)', 'conductor_label': '40.1', 'conductor_norm': 40, 'conductor_norm_factors': [2, 5], 'degree': 2, 'disc': '(80)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-31{x}-69', 'field_label': '2.2.40.1', 'galois_images': ['2B'], 'gens': ['[[6,-3],[45,-13],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.72220533806442561466600769221550966892', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '132304644/5,0', 'label': '2.2.40.1-40.1-a4', 'local_data': [{'p': '(2,w)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(5,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(80)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 6400, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '4.4069607825039343348443741533493637872', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.72220533806442561466600769221550966892', 'prec': 133}, 'root_analytic_conductor': 1.4212927705926293, 'semistable': False, 'sha': 1, 'short_class_label': '40.1-a', 'short_label': '40.1-a4', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[-7/2,0],[0,5/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 815392509728418609}