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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '5.1094119992405716240199463430802255972', 'prec': 130}, 'abs_disc': 377, 'ainvs': '1,1;-1,0;0,0;359,-5;-574,158', 'analytic_rank': 1, 'bad_primes': ['(2,w+1)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.2.377.1-8.4-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(8,w+5)', 'conductor_label': '8.4', 'conductor_norm': 8, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(5*w-39)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^{3}-{x}^{2}+\\left(-5a+359\\right){x}+158a-574', 'field_label': '2.2.377.1', 'galois_images': ['2B'], 'gens': ['[[11990044368834951/17448560231336,-2381876217887979/34897120462672],[10446082924776579657140231/371643096054667819616,-2042680565831118833918617/743286192109335639232],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '21.062072402614019901145088308205334721', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '4685202125,508805125', 'label': '2.2.377.1-8.4-a4', 'local_data': [{'p': '(2,w+1)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 10, 'ord_den_j': 0}], 'minD': '(-5*w+39)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -1024, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '4.7102124639508364969596965993732151243', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '21.062072402614019901145088308205334721', 'prec': 130}, 'root_analytic_conductor': 2.9179760658815694, 'semistable': False, 'sha': 1, 'short_class_label': '8.4-a', 'short_label': '8.4-a4', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-11/4,-3/4],[293/8,17/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1518251597662749239}