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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.5811932341163661310109347009560448025', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,0;1,1;0,1;6,2;4,0', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(-3*w-2)', '(2*w+3)', '(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.4.1-76050.5-f', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(195*w+195)', 'conductor_label': '76050.5', 'conductor_norm': 76050, 'conductor_norm_factors': [2, 3, 5, 13], 'degree': 2, 'disc': '(-5850*w-7800)', 'equation': '{y}^2+{x}{y}+i{y}={x}^{3}+\\left(i+1\\right){x}^{2}+\\left(2i+6\\right){x}+4', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': ['[[-1,0],[0,1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.15323736673912599490826519440999232395', 'prec': 133}], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '19992146/8125,23596843/48750', 'label': '2.0.4.1-76050.5-f1', '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': 8, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-3*w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(7800*w-5850)', 'n_bad_primes': 6, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 95062500, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.9212793445258793109815753514356340817', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.15323736673912599490826519440999232395', 'prec': 133}, 'root_analytic_conductor': 2.9678596120699883, 'semistable': True, 'sha': 1, 'short_class_label': '76050.5-f', 'short_label': '76050.5-f1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[0,-3],[0,1],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2205120224771568789}