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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.1807990443685893313128782856780766879', 'prec': 130}, 'abs_disc': 12, 'ainvs': '0,1;-1,0;0,0;-27744,0;1781010,0', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(w)', '(17)'], 'base_change': ['816.b1', '306.b1'], 'class_deg': 8, 'class_label': '2.2.12.1-1734.1-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(17*w+51)', 'conductor_label': '1734.1', 'conductor_norm': 1734, 'conductor_norm_factors': [2, 3, 17], 'degree': 2, 'disc': '(5202)', 'equation': '{y}^2+a{x}{y}={x}^{3}-{x}^{2}-27744{x}+1781010', 'field_label': '2.2.12.1', 'galois_images': ['2B'], 'gens': ['[[54,0],[-663,-27],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.9134908847442385566857514407286902998', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '2361739090258884097/5202,0', 'label': '2.2.12.1-1734.1-b6', '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)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(17)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 289, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(5202)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 27060804, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '3.9480248127222485065674715743879541657', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.9134908847442385566857514407286902998', 'prec': 130}, 'root_analytic_conductor': 1.997521441799333, 'semistable': True, 'sha': 1, 'short_class_label': '1734.1-b', 'short_label': '1734.1-b6', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[193/2,0],[-17/4,-193/4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1057875425710004520}