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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.5051688076028575109941573831555106044', 'prec': 130}, 'abs_disc': 11, 'ainvs': '1,0;-1,0;0,0;1,0;0,0', 'analytic_rank': 1, 'bad_primes': ['(-w-1)', '(w-2)', '(-2*w+1)'], 'base_change': ['55.a4', '605.b4'], 'class_deg': 4, 'class_label': '2.0.11.1-275.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-10*w+5)', 'conductor_label': '275.2', 'conductor_norm': 275, 'conductor_norm_factors': [5, 11], 'degree': 2, 'disc': '(-55)', 'equation': '{y}^2+{x}{y}={x}^{3}-{x}^{2}+{x}', 'field_label': '2.0.11.1', 'galois_images': ['2B'], 'gens': ['[[1/9,5/9],[-2/27,-10/27],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4096966682146679534990226003223746066', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '59319/55,0', 'label': '2.0.11.1-275.2-a1', 'local_data': [{'p': '(-w-1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(w-2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(55)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3025, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '7.0824884438261619172063744573138356492', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.4096966682146679534990226003223746066', 'prec': 130}, 'root_analytic_conductor': 1.2068910579459644, 'semistable': True, 'sha': 1, 'short_class_label': '275.2-a', 'short_label': '275.2-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[-1,0],[1,-1],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1719650669728510077}