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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.555197026804397', 'prec': 57}, 'abs_disc': 8069, 'ainvs': '-3,0,1,0;-1,5,0,-1;-1,-3,1,1;21,-3,-8,-1;20,7,-12,-5', 'analytic_rank': 0, 'bad_primes': ['(w^2+w-4)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.8069.1-19.1-e', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2+w-4)', 'conductor_label': '19.1', 'conductor_norm': 19, 'conductor_norm_factors': [19], 'degree': 4, 'disc': '(w^3+w^2-3*w-6)', 'equation': '{y}^2+\\left(a^{2}-3\\right){x}{y}+\\left(a^{3}+a^{2}-3a-1\\right){y}={x}^{3}+\\left(-a^{3}+5a-1\\right){x}^{2}+\\left(-a^{3}-8a^{2}-3a+21\\right){x}-5a^{3}-12a^{2}+7a+20', 'field_label': '4.4.8069.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-429808776872/361,-2349627001920/361,1052547388417/361,921050783480/361', 'label': '4.4.8069.1-19.1-e2', 'local_data': [{'p': '(w^2+w-4)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(w^3+w^2-3*w-6)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 361, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '99.744046971055525734766531714272641793', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 11.598253889434975, 'semistable': True, 'sha': 1, 'short_class_label': '19.1-e', 'short_label': '19.1-e2', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-1,-1,0,0],[-1,0,0,0],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2160855074569675141}