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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.7576172972616792414526661509796323318', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,0;0,1;1,1;7,-45;120,-280', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+3)', '(2*w+1)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.7.1-5324.6-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-44*w+66)', 'conductor_label': '5324.6', 'conductor_norm': 5324, 'conductor_norm_factors': [2, 11], 'degree': 2, 'disc': '(-18069656*w+51057160)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+a{x}^{2}+\\left(-45a+7\\right){x}-280a+120', 'field_label': '2.0.7.1', 'galois_images': ['3B.1.1'], 'gens': ['[[-6,-2],[-10,14],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.80471867730491031922593899297112437634', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '64260511/681472,-531165637/1362944', 'label': '2.0.7.1-5324.6-a1', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(-w+1)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(-2*w+3)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 11, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(2*w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(18069656*w-51057160)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 2337273205645312, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.72233601625756544665685758594971688011', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.80471867730491031922593899297112437634', 'prec': 133}, 'root_analytic_conductor': 2.0195150091296186, 'semistable': False, 'sha': 1, 'short_class_label': '5324.6-a', 'short_label': '5324.6-a1', 'signature': [0, 1], 'tamagawa_product': 18, 'torsion_gens': ['[[0,-1],[-17,11],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1494247351150479889}