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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '7.0021565349221227938680579324748088826', 'prec': 130}, 'abs_disc': 132, 'ainvs': '1,0;-1,0;0,0;315,0;1066,0', 'analytic_rank': 1, 'bad_primes': ['(3,w)', '(5)'], 'base_change': ['45.a8', '29040.df8'], 'class_deg': 16, 'class_label': '2.0.132.1-75.1-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(15,5*w)', 'conductor_label': '75.1', 'conductor_norm': 75, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(2562890625)', 'equation': '{y}^2+{x}{y}={x}^3-{x}^2+315{x}+1066', 'field_label': '2.0.132.1', 'galois_images': ['2Cs'], 'gens': ['[[-1009/22,0],[1009/44,-28125/484],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.2489766103810695861069585119332837382', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], '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': '4733169839/3515625,0', 'label': '2.0.132.1-75.1-a3', 'local_data': [{'p': '(3,w)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(5)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 25, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(3515625)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(3,w)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 6568408355712890625, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '1.1178508563087645508833713910561208611', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.2489766103810695861069585119332837382', 'prec': 130}, 'root_analytic_conductor': 3.021279020245142, 'semistable': True, 'sha': 1, 'short_class_label': '75.1-a', 'short_label': '75.1-a3', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-13/4,0],[13/8,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1488211862532969270}