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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.6264591614019008371606670768193544162', 'prec': 130}, 'abs_disc': 2491, 'ainvs': '1,1;-1,-1;0,0;8145,20;-142791,-291', 'analytic_rank': 1, 'bad_primes': ['(2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.2491.1-4.1-c', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(80740352*a+326500352)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(20a+8145\\right){x}-291a-142791', 'field_label': '2.0.2491.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-25153757/131072,0', 'label': '2.0.2491.1-4.1-c1', 'local_data': [{'p': '(5,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 5, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 1, 'kod': 21, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 17, 'ord_den_j': 17}], 'minD': '(131072)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(5,w+1)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 4194304000000000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.8991090230083138039547367012542465212', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 6.307255368779822, 'semistable': True, 'short_class_label': '4.1-c', 'short_label': '4.1-c1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 485213412222069644}