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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.7600908619534307428088100078951644970', 'prec': 130}, 'abs_disc': 12, 'ainvs': '0,0;-1,-1;0,0;-3136,1812;70660,-40796', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(w)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.2.12.1-3072.1-cc', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(32*w)', 'conductor_label': '3072.1', 'conductor_norm': 3072, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-18432)', 'equation': '{y}^2={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(1812a-3136\\right){x}-40796a+70660', 'field_label': '2.2.12.1', 'galois_images': ['2Cs'], 'gens': ['[[34,-19],[78,-45],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.92987192448982535048970021022372128465', 'prec': 133}], 'iso_label': 'cc', 'iso_nlabel': 54, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 16, 8, 4, 8, 2, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [8, 8, 1, 2, 4, 4, 8, 8], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [2, 8, 4, 2, 4, 1, 8, 2], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 8, 4, 8, 2, 16, 1]], 'jinv': '35152/9,0', 'label': '2.2.12.1-3072.1-cc4', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': -12, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 10, 'ord_disc': 22, 'ord_den_j': 0}, {'p': '(w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(18432)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 339738624, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '10.282314113382456048263560049099101138', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.92987192448982535048970021022372128465', 'prec': 133}, 'root_analytic_conductor': 2.3045412139810555, 'semistable': False, 'sha': 1, 'short_class_label': '3072.1-cc', 'short_label': '3072.1-cc4', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[32,-18],[0,0],[1,0]]', '[[13,-7],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1722259632343436336}