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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.0010132411056737038801911802522522222', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;0,-1;1,1;-4,-1;0,-11', 'analytic_rank': 2, 'bad_primes': ['(w+1)', '(3)', '(7)'], 'base_change': ['672.b4', '672.f4'], 'class_deg': 4, 'class_label': '2.0.4.1-28224.1-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(168)', 'conductor_label': '28224.1', 'conductor_norm': 28224, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(57624)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+\\left(i+1\\right){y}={x}^{3}-i{x}^{2}+\\left(-i-4\\right){x}-11i', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': ['[[-2,0],[3,-2],[1,0]]', '[[-98/25,36/25],[-144/125,-667/125],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.3923004916626366231494911183313099012', 'prec': 130}, {'__RealLiteral__': 0, 'data': '1.3923004916626366231494911183313099012', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '830584/7203,0', 'label': '2.0.4.1-28224.1-b1', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(7)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 49, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(57624)', 'n_bad_primes': 3, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3320525376, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.2488379958730422276473909444769286188', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.7791469409749114876633935942787793973', 'prec': 130}, 'root_analytic_conductor': 2.316451384301005, 'semistable': False, 'sha': 1, 'short_class_label': '28224.1-b', 'short_label': '28224.1-b1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[0,2],[-3,2],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1507391057465055998}