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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.3568433899862915816204413187212402731', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;1,0;0,0;-80,0;-300,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(2)', '(5)'], 'base_change': ['240.d6', '720.c6'], 'class_deg': 16, 'class_label': '2.0.3.1-19200.1-g', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-160*w+80)', 'conductor_label': '19200.1', 'conductor_norm': 19200, 'conductor_norm_factors': [2, 3, 5], 'degree': 2, 'disc': '(921600)', 'equation': '{y}^2={x}^{3}+{x}^{2}-80{x}-300', 'field_label': '2.0.3.1', 'galois_images': ['2Cs'], 'gens': ['[[-8,0],[6,-12],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.65015642199656306277411657149174565903', 'prec': 133}], 'iso_label': 'g', 'iso_nlabel': 6, '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': '13997521/225,0', 'label': '2.0.3.1-19200.1-g5', 'local_data': [{'p': '(-2*w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}, {'p': '(5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 25, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(921600)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 849346560000, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '1.1178508563087645508833713910561208612', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.65015642199656306277411657149174565903', 'prec': 133}, 'root_analytic_conductor': 1.821899799477402, 'semistable': False, 'sha': 1, 'short_class_label': '19200.1-g', 'short_label': '19200.1-g5', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-6,0],[0,0],[1,0]]', '[[-5,0],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1370065005699836930}