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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.06644587713377', 'prec': 54}, 'abs_disc': 1600, 'ainvs': '0,1,1/2,0;1,2,-1/2,-1/2;0,1,0,0;-69,53,57,-34;-161,22,302,-140', 'analytic_rank': 0, 'bad_primes': ['(1/2*w^3-1/2*w^2-3*w)'], 'base_change': [], 'class_deg': 12, 'class_label': '4.4.1600.1-31.4-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1/2*w^3-1/2*w^2-3*w)', 'conductor_label': '31.4', 'conductor_norm': 31, 'conductor_norm_factors': [31], 'degree': 4, 'disc': '(-17/2*w^3+5*w^2+45*w+3)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{2}+a\\right){x}{y}+a{y}={x}^{3}+\\left(-\\frac{1}{2}a^{3}-\\frac{1}{2}a^{2}+2a+1\\right){x}^{2}+\\left(-34a^{3}+57a^{2}+53a-69\\right){x}-140a^{3}+302a^{2}+22a-161', 'field_label': '4.4.1600.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 12, 4, 6, 3, 12, 2, 4], [12, 1, 12, 2, 4, 4, 6, 3], [4, 12, 1, 6, 12, 3, 2, 4], [6, 2, 6, 1, 2, 2, 3, 6], [3, 4, 12, 2, 1, 4, 6, 12], [12, 4, 3, 2, 4, 1, 6, 12], [2, 6, 2, 3, 6, 6, 1, 2], [4, 3, 4, 6, 12, 12, 2, 1]], 'jinv': '-441577709639777226006/923521,-192976118760042249464/923521,1156066776906178179193/1847042,505219547793146787969/1847042', 'label': '4.4.1600.1-31.4-a1', 'local_data': [{'p': '(1/2*w^3-1/2*w^2-3*w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 31, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(17/2*w^3-5*w^2-45*w-3)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -923521, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '21.328917542675473882006677158657403896', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 5.4905867358050555, 'semistable': True, 'sha': 4, 'short_class_label': '31.4-a', 'short_label': '31.4-a1', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-19/4,4,-1/8,-3/4],[-13/8,9/8,13/8,3/16],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2070320677332490293}