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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '15.294630137558454753995654592581041517', 'prec': 130}, 'abs_disc': 840, 'ainvs': '0,1;0,0;0,0;3226,11;-41328,-3122', 'analytic_rank': 2, 'bad_primes': ['(2,w)'], 'base_change': ['14400.cx1', '1568.e2'], 'class_deg': 4, 'class_label': '2.0.840.1-32.1-e', 'class_size': 4, 'cm': -16, 'cm_type': -1, 'conductor_ideal': '(8,4*w)', 'conductor_label': '32.1', 'conductor_norm': 32, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-67468896*a-4657060792)', 'equation': '{y}^2+a{x}{y}={x}^3+\\left(11a+3226\\right){x}-3122a-41328', 'field_label': '2.0.840.1', 'galois_images': ['2Cs'], 'gens': ['[[133/8,7/4],[3157/16,-293/32],[1,0]]', '[[81/4,-11/2],[-1785/8,17],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4944407538016703049134574705638987676', 'prec': 130}, {'__RealLiteral__': 0, 'data': '2.6964694026626170544163641927814947238', 'prec': 130}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], 'jinv': '287496,0', 'label': '2.0.840.1-32.1-e4', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 5, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(29,w+14)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 29, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 2, 'non_min_p': ['(29,w+14)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 22644146125150018624, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '13.750371636040745654980191559621114396', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '4.0297137667182610839749820232413065756', 'prec': 130}, 'root_analytic_conductor': 6.1597869463002874, 'semistable': False, 'sha': 4, 'short_class_label': '32.1-e', 'short_label': '32.1-e4', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[33/2,2],[210,-33/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2236153369639408653}