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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.3005027181265763143156656624447302351', 'prec': 130}, 'abs_disc': 33, 'ainvs': '1,0;1,0;0,0;44,0;55,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+7)', '(-4*w-9)'], 'base_change': ['33.a4', '1089.j4'], 'class_deg': 8, 'class_label': '2.2.33.1-33.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w+1)', 'conductor_label': '33.1', 'conductor_norm': 33, 'conductor_norm_factors': [3, 11], 'degree': 2, 'disc': '(-5845851)', 'equation': '{y}^2+{x}{y}={x}^{3}+{x}^{2}+44{x}+55', 'field_label': '2.2.33.1', 'galois_images': ['2B'], 'gens': ['[[11/4,0],[-31/8,5],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.9577010044811001071227173060498724674', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, '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': '9090072503/5845851,0', 'label': '2.2.33.1-33.1-a2', 'local_data': [{'p': '(-2*w+7)', 'cp': 2, 'kod': 28, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 24, 'ord_den_j': 24}, {'p': '(-4*w-9)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(5845851)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 34173973914201, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.2340632069954015022360997243286296108', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.9577010044811001071227173060498724674', 'prec': 130}, 'root_analytic_conductor': 1.2303367836963277, 'semistable': True, 'sha': 1, 'short_class_label': '33.1-a', 'short_label': '33.1-a2', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-5/4,0],[5/8,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2125200354529643087}