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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.32484546369472465601860786929818699367', 'prec': 133}, 'abs_disc': 11, 'ainvs': '0,0;0,1;1,1;11307,180;-159708,286215', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(-w-1)', '(-2*w+1)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.11.1-27225.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-88*w-33)', 'conductor_label': '27225.1', 'conductor_norm': 27225, 'conductor_norm_factors': [3, 5, 11], 'degree': 2, 'disc': '(-6862280623*w+21423838557)', 'equation': '{y}^2+\\left(a+1\\right){y}={x}^{3}+a{x}^{2}+\\left(180a+11307\\right){x}+286215a-159708', 'field_label': '2.0.11.1', 'galois_images': ['3B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '-577683456/121,-336572416/121', 'label': '2.0.11.1-27225.1-b1', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 3, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 0}, {'p': '(-w-1)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 10, 'ord_den_j': 0}, {'p': '(-2*w+1)', 'cp': 2, 'kod': -7, 'red': 0, 'normp': 11, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 3}], 'minD': '(6862280623*w-21423838557)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 453237152362822265625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.13467381474055235189478913294831624544', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 3.8069473291421296, 'semistable': False, 'sha': 1, 'short_class_label': '27225.1-b', 'short_label': '27225.1-b1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 43741276946087087}