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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.12556516328474', 'prec': 54}, 'abs_disc': 2225, 'ainvs': '-3,-5/2,1/2,1/2;4,3/2,-1/2,-1/2;-2,-1,1,0;21,6,-11,-3;-9,-57/2,-17/2,13/2', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(-1/2*w^3+1/2*w^2+5/2*w-1)'], 'base_change': [], 'class_deg': 18, 'class_label': '4.4.2225.1-16.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(4864*w^3-4352*w^2-10496*w+3072)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{3}+\\frac{1}{2}a^{2}-\\frac{5}{2}a-3\\right){x}{y}+\\left(a^{2}-a-2\\right){y}={x}^{3}+\\left(-\\frac{1}{2}a^{3}-\\frac{1}{2}a^{2}+\\frac{3}{2}a+4\\right){x}^{2}+\\left(-3a^{3}-11a^{2}+6a+21\\right){x}+\\frac{13}{2}a^{3}-\\frac{17}{2}a^{2}-\\frac{57}{2}a-9', 'field_label': '4.4.2225.1', 'galois_images': ['2B', '3Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 18, 9, 2, 6], [3, 1, 6, 3, 6, 2], [18, 6, 1, 2, 9, 3], [9, 3, 2, 1, 18, 6], [2, 6, 9, 18, 1, 3], [6, 2, 3, 6, 3, 1]], 'jinv': '2110395388989/32768,1454285809955/16384,-83328303025/32768,-4805055317535/262144', 'label': '4.4.2225.1-16.1-a2', 'local_data': [{'p': '(-w)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(-1/2*w^3+1/2*w^2+5/2*w-1)', 'cp': 18, 'kod': 22, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}], 'minD': '(4864*w^3-4352*w^2-10496*w+3072)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 18014398509481984, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '11.798400570364942519153557784215456690', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 5.96099227473663, 'semistable': True, 'sha': 1, 'short_class_label': '16.1-a', 'short_label': '16.1-a2', 'signature': [4, 0], 'tamagawa_product': 162, 'torsion_gens': ['[[0,-7,2,0],[-6,5/2,-27/2,13/2],[1,0,0,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1637607553184281391}