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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '6.7405082778169293475371562868219061696', 'prec': 130}, 'abs_disc': 53, 'ainvs': '1,0;-1,0;1,0;-38,9;37,-9', 'analytic_rank': 1, 'bad_primes': ['(w-6)', '(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.2.53.1-1377.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(9*w-54)', 'conductor_label': '1377.2', 'conductor_norm': 1377, 'conductor_norm_factors': [3, 17], 'degree': 2, 'disc': '(-729*w+4374)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\\left(9a-38\\right){x}-9a+37', 'field_label': '2.2.53.1', 'galois_images': ['2B'], 'gens': ['[[-3288/1369,731/1369],[-423692/50653,97023/50653],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.3413910373032336986966085580526828325', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '138726/17,34263/17', 'label': '2.2.53.1-1377.2-a1', 'local_data': [{'p': '(w-6)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(729*w-4374)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 9034497, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '11.303206863990378938659317531187557912', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '4.3413910373032336986966085580526828325', 'prec': 130}, 'root_analytic_conductor': 3.9628713470147594, 'semistable': False, 'sha': 1, 'short_class_label': '1377.2-a', 'short_label': '1377.2-a1', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[1,0],[-1,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 180274237862108835}