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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.8800922443099842428114406260805742653', 'prec': 130}, 'abs_disc': 8, 'ainvs': '1,1;1,0;0,0;7,-67;-254,158', 'analytic_rank': 0, 'bad_primes': ['(-w-1)', '(w-1)', '(-2*w+3)', '(2*w+3)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.0.8.1-2601.5-e', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(51)', 'conductor_label': '2601.5', 'conductor_norm': 2601, 'conductor_norm_factors': [3, 17], 'degree': 2, 'disc': '(3422916*w+4726017)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+{x}^{2}+\\left(-67a+7\\right){x}+158a-254', 'field_label': '2.0.8.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '-136210703475223/17596287801,-147770521717808/17596287801', 'label': '2.0.8.1-2601.5-e2', 'local_data': [{'p': '(-w-1)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(w-1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-2*w+3)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2*w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(3422916*w+4726017)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 45767944570401, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.88628398347188338527758346428310546177', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.8049643770635033, 'semistable': True, 'sha': 1, 'short_class_label': '2601.5-e', 'short_label': '2601.5-e2', 'signature': [0, 1], 'tamagawa_product': 48, 'torsion_gens': ['[[-8,-6],[-2,7],[1,0]]', '[[13/4,7/2],[15/8,-27/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 641172527653189101}