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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.9992189118575661352174405419568173098', 'prec': 130}, 'abs_disc': 17, 'ainvs': '1,1;-1,1;1,1;-404,149;-3561,1359', 'analytic_rank': 0, 'bad_primes': ['(-w+2)', '(-w-1)'], 'base_change': [], 'class_deg': 24, 'class_label': '2.2.17.1-128.5-c', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-6*w-2)', 'conductor_label': '128.5', 'conductor_norm': 128, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(868*w+1868)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(149a-404\\right){x}+1359a-3561', 'field_label': '2.2.17.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 24, 8, 3, 6, 8, 4, 12, 12, 2, 24, 4], [24, 1, 3, 8, 4, 12, 6, 2, 8, 12, 4, 24], [8, 3, 1, 24, 12, 4, 2, 6, 24, 4, 12, 8], [3, 8, 24, 1, 2, 24, 12, 4, 4, 6, 8, 12], [6, 4, 12, 2, 1, 12, 6, 2, 2, 3, 4, 6], [8, 12, 4, 24, 12, 1, 2, 6, 24, 4, 3, 8], [4, 6, 2, 12, 6, 2, 1, 3, 12, 2, 6, 4], [12, 2, 6, 4, 2, 6, 3, 1, 4, 6, 2, 12], [12, 8, 24, 4, 2, 24, 12, 4, 1, 6, 8, 3], [2, 12, 4, 6, 3, 4, 2, 6, 6, 1, 12, 2], [24, 4, 12, 8, 4, 3, 6, 2, 8, 12, 1, 24], [4, 24, 8, 12, 6, 8, 4, 12, 3, 2, 24, 1]], 'jinv': '139614751755/4,-54503407609/4', 'label': '2.2.17.1-128.5-c9', 'local_data': [{'p': '(-w+2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w-1)', 'cp': 2, 'kod': -13, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 19, 'ord_den_j': 1}], 'minD': '(-868*w-1868)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 2097152, 'number': 9, 'omega': {'__RealLiteral__': 0, 'data': '2.0607476855802871958089611809942472267', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 1.2392687732660608, 'semistable': False, 'sha': 4, 'short_class_label': '128.5-c', 'short_label': '128.5-c9', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-41/4,9/4],[1/8,19/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 965206910192201063}