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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.35992895949803944944002575466348575048', 'prec': 133}, 'abs_disc': 5, 'ainvs': '1,1;1,-1;0,1;15,-18;-265,171', 'analytic_rank': 0, 'bad_primes': ['(5*w-2)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.2.5.1-31.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(5*w-2)', 'conductor_label': '31.1', 'conductor_norm': 31, 'conductor_norm_factors': [31], 'degree': 2, 'disc': '(5*w-2)', 'equation': '{y}^2+\\left(\\phi+1\\right){x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi+1\\right){x}^{2}+\\left(-18\\phi+15\\right){x}+171\\phi-265', 'field_label': '2.2.5.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '3788983280553597/31,6130703730739448/31', 'label': '2.2.5.1-31.1-a6', 'local_data': [{'p': '(5*w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 31, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(5*w-2)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -31, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '12.877209928134156681151153182885767598', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 0.4714807645767404, 'semistable': True, 'sha': 1, 'short_class_label': '31.1-a', 'short_label': '31.1-a6', 'signature': [2, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[13,-7],[52,-34],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1503589726268104938}