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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.0933660899118789051301152472242195896', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,0;0,-1;1,1;-155,128;2482,293', 'analytic_rank': 0, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+1)', '(-2*w+3)', '(2*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.7.1-23716.5-e', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(154)', 'conductor_label': '23716.5', 'conductor_norm': 23716, 'conductor_norm_factors': [2, 7, 11], 'degree': 2, 'disc': '(-565346320*w-2911307168)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}-a{x}^{2}+\\left(128a-155\\right){x}+293a+2482', 'field_label': '2.0.7.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '132554493440375/519691042816,-31504873455125/519691042816', 'label': '2.0.7.1-23716.5-e2', 'local_data': [{'p': '(w)', 'cp': 2, 'kod': 36, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 32, 'ord_den_j': 32}, {'p': '(-w+1)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-2*w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(-2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(-565346320*w-2911307168)', 'n_bad_primes': 5, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 10760839143341686784, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.36159684573223983113788725032627934669', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.933917745591043, 'semistable': False, 'sha': 1, 'short_class_label': '23716.5-e', 'short_label': '23716.5-e2', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[1/2,27/4],[-3/4,-31/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 602214270835507100}