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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.0062093932915910007163001469770181571', 'prec': 130}, 'abs_disc': 93, 'ainvs': '1,0;1,0;1,0;-135,0;-660,0', 'analytic_rank': 1, 'bad_primes': ['(w+4)', '(5)'], 'base_change': ['15.a2', '43245.h2'], 'class_deg': 16, 'class_label': '2.2.93.1-75.1-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(5*w+20)', 'conductor_label': '75.1', 'conductor_norm': 75, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(164025)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660', 'field_label': '2.2.93.1', 'galois_images': ['2Cs'], 'gens': ['[[245619397/17251212,0],[-639683540635/124105219128,-152931019969/31026304782],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '19.725026652254398742698002006084516236', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, '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': '272223782641/164025,0', 'label': '2.2.93.1-75.1-b6', 'local_data': [{'p': '(w+4)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 25, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(164025)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 26904200625, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '1.9616888821913405749936556941151444563', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '19.725026652254398742698002006084516236', 'prec': 130}, 'root_analytic_conductor': 2.5359771940443605, 'semistable': True, 'sha': 1, 'short_class_label': '75.1-b', 'short_label': '75.1-b6', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-29/4,0],[25/8,0],[1,0]]', '[[-7,0],[3,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 2174785547019076507}