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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.1528827621937901156402359525040182477', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,1;-1,1;1,0;2327,-18010;-661327,570821', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(-3*w-2)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.4.1-42250.7-e', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-155*w+135)', 'conductor_label': '42250.7', 'conductor_norm': 42250, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-31192372064350*w+88963757149200)', 'equation': '{y}^2+i{x}{y}+{y}={x}^{3}+\\left(i-1\\right){x}^{2}+\\left(-18010i+2327\\right){x}+570821i-661327', 'field_label': '2.0.4.1', 'galois_images': ['2Cs', '3B'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 4, 12, 2, 4, 6, 12], [3, 1, 12, 4, 6, 12, 2, 4], [4, 12, 1, 12, 2, 4, 6, 3], [12, 4, 12, 1, 6, 3, 2, 4], [2, 6, 2, 6, 1, 2, 3, 6], [4, 12, 4, 3, 2, 1, 6, 12], [6, 2, 6, 2, 3, 6, 1, 2], [12, 4, 3, 4, 6, 12, 2, 1]], 'jinv': '5474429230691529908/1178420166015625,-12415547946147007137/2356840332031250', 'label': '2.0.4.1-42250.7-e5', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w-2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 4, 'kod': -16, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 18, 'ord_den_j': 12}, {'p': '(-3*w-2)', 'cp': 4, 'kod': -10, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 12, 'ord_den_j': 6}], 'minD': '(-31192372064350*w+88963757149200)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 8887514161102676391601562500, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '0.059802298949827503212228776458444951325', 'prec': 137}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.5622719809090007, 'semistable': False, 'sha': 9, 'short_class_label': '42250.7-e', 'short_label': '42250.7-e5', 'signature': [0, 1], 'tamagawa_product': 64, 'torsion_gens': ['[[-411/4,-115],[-58,411/8],[1,0]]', '[[46,35],[17,-23],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 913362006505234915}