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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.15575826465634', 'prec': 54}, 'abs_disc': 4225, 'ainvs': '0,1,0,0;-3/2,-13/4,1/2,1/4;0,1,0,0;-63/2,-125/4,9/2,13/4;88,301/2,-19/2,-18', 'analytic_rank': 0, 'bad_primes': ['(1/2*w^3-9/2*w+1)'], 'base_change': [], 'class_deg': 12, 'class_label': '4.4.4225.1-16.3-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w+2)', 'conductor_label': '16.3', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-w^2+4)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+\\left(\\frac{1}{4}a^{3}+\\frac{1}{2}a^{2}-\\frac{13}{4}a-\\frac{3}{2}\\right){x}^{2}+\\left(\\frac{13}{4}a^{3}+\\frac{9}{2}a^{2}-\\frac{125}{4}a-\\frac{63}{2}\\right){x}-18a^{3}-\\frac{19}{2}a^{2}+\\frac{301}{2}a+88', 'field_label': '4.4.4225.1', 'galois_images': ['2Cs', '3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 4, 4, 2, 12, 12, 3, 6], [4, 1, 4, 2, 12, 3, 12, 6], [4, 4, 1, 2, 3, 12, 12, 6], [2, 2, 2, 1, 6, 6, 6, 3], [12, 12, 3, 6, 1, 4, 4, 2], [12, 3, 12, 6, 4, 1, 4, 2], [3, 12, 12, 6, 4, 4, 1, 2], [6, 6, 6, 3, 2, 2, 2, 1]], 'jinv': '-943918,-1430550,6521955/2,2492391/2', 'label': '4.4.4225.1-16.3-a8', 'local_data': [{'p': '(1/2*w^3-9/2*w+1)', 'cp': 1, 'kod': 4, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(-w^2+4)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 256, 'number': 8, 'omega': {'__RealLiteral__': 0, 'data': '1201.9885952425990633028929354534816121', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 8.214230926141653, 'semistable': False, 'sha': 1, 'short_class_label': '16.3-a', 'short_label': '16.3-a8', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-2,-8,0,1],[2,1/2,-1/2,0],[1,0,0,0]]', '[[1,9/2,-1/4,-1/2],[-1,-1,0,1/8],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 423001075975685482}