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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.6620509442616638335975269303583865423', 'prec': 130}, 'abs_disc': 21, 'ainvs': '0,0;-1,0;0,0;-384,0;-2772,0', 'analytic_rank': 1, 'bad_primes': ['(-w+2)', '(2)'], 'base_change': ['24.a1', '3528.d1'], 'class_deg': 8, 'class_label': '2.2.21.1-192.1-j', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-8*w+16)', 'conductor_label': '192.1', 'conductor_norm': 192, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(18432)', 'equation': '{y}^2={x}^{3}-{x}^{2}-384{x}-2772', 'field_label': '2.2.21.1', 'galois_images': ['2B'], 'gens': ['[[667/3,0],[-6470/9,12940/9],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '6.5510172453980703088352225495078934906', 'prec': 130}], 'iso_label': 'j', 'iso_nlabel': 9, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '3065617154/9,0', 'label': '2.2.21.1-192.1-j6', 'local_data': [{'p': '(-w+2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 4, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 11, 'ord_den_j': 0}], 'minD': '(18432)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 339738624, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '1.1626399344777013798830146126102071460', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '6.5510172453980703088352225495078934906', 'prec': 130}, 'root_analytic_conductor': 1.52431073457319, 'semistable': False, 'sha': 1, 'short_class_label': '192.1-j', 'short_label': '192.1-j6', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-11,0],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 934325463408950920}