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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.4289660978824822101602078512947516893', 'prec': 130}, 'abs_disc': 7, 'ainvs': '0,0;1,0;0,0;9,2;-5,8', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(5)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.7.1-12800.4-e', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-40*w-80)', 'conductor_label': '12800.4', 'conductor_norm': 12800, 'conductor_norm_factors': [2, 5], 'degree': 2, 'disc': '(-8000*w-8000)', 'equation': '{y}^2={x}^{3}+{x}^{2}+\\left(2a+9\\right){x}+8a-5', 'field_label': '2.0.7.1', 'galois_images': [], 'gens': ['[[0,-1],[-1,1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.57468381951856708868720976595186843828', 'prec': 133}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '841216/125,51712/125', 'label': '2.0.7.1-12800.4-e1', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(-w+1)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(5)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 25, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-8000*w-8000)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 256000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.5487804037074106522326907644111573056', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.57468381951856708868720976595186843828', 'prec': 133}, 'root_analytic_conductor': 2.5147224904487113, 'semistable': False, 'sha': 1, 'short_class_label': '12800.4-e', 'short_label': '12800.4-e1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1604239691644332447}