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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.4300436586710675918378835151377877650', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,1;0,0;0,0;-27,-103;179,-258', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.4.1-26000.6-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(20*w+160)', 'conductor_label': '26000.6', 'conductor_norm': 26000, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-20160000*w-37130000)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}={x}^{3}+\\left(-103i-27\\right){x}-258i+179', 'field_label': '2.0.4.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 8, 8], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 2, 2], [8, 8, 4, 2, 1, 4], [8, 8, 4, 2, 4, 1]], 'jinv': '53748185108/17850625,17012483856/17850625', 'label': '2.0.4.1-26000.6-a4', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2*w+1)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}, {'p': '(2*w+3)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(-20160000*w-37130000)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1785062500000000, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.71502182933553379591894175756889388250', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.269404366613975, 'semistable': False, 'sha': 1, 'short_class_label': '26000.6-a', 'short_label': '26000.6-a4', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-7,-5],[1,6],[1,0]]', '[[-2,-5/2],[-1/4,9/4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 129063619963945393}