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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.815401443336501', 'prec': 57}, 'abs_disc': 2304, 'ainvs': '-2,1,1,0;3,5,-1,-1;-1,-3,1,1;-17,34,26,-21;10,-34,37,-12', 'analytic_rank': 0, 'bad_primes': ['(w^3-4*w+1)'], 'base_change': [], 'class_deg': 48, 'class_label': '4.4.2304.1-16.1-b', 'class_size': 16, 'cm': -192, 'cm_type': -1, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-4)', 'equation': '{y}^2+\\left(a^{2}+a-2\\right){x}{y}+\\left(a^{3}+a^{2}-3a-1\\right){y}={x}^{3}+\\left(-a^{3}-a^{2}+5a+3\\right){x}^{2}+\\left(-21a^{3}+26a^{2}+34a-17\\right){x}-12a^{3}+37a^{2}-34a+10', 'field_label': '4.4.2304.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 16, 24, 48], 'isogeny_matrix': [[1, 2, 4, 3, 12, 6, 12, 4, 24, 8, 16, 8, 16, 48, 24, 48], [2, 1, 2, 6, 6, 3, 6, 2, 12, 4, 8, 4, 8, 24, 12, 24], [4, 2, 1, 12, 3, 6, 12, 4, 24, 8, 16, 8, 16, 48, 24, 48], [3, 6, 12, 1, 4, 2, 4, 12, 8, 24, 48, 24, 48, 16, 8, 16], [12, 6, 3, 4, 1, 2, 4, 12, 8, 24, 48, 24, 48, 16, 8, 16], [6, 3, 6, 2, 2, 1, 2, 6, 4, 12, 24, 12, 24, 8, 4, 8], [12, 6, 12, 4, 4, 2, 1, 3, 2, 6, 12, 6, 12, 4, 2, 4], [4, 2, 4, 12, 12, 6, 3, 1, 6, 2, 4, 2, 4, 12, 6, 12], [24, 12, 24, 8, 8, 4, 2, 6, 1, 3, 24, 12, 24, 8, 4, 8], [8, 4, 8, 24, 24, 12, 6, 2, 3, 1, 8, 4, 8, 24, 12, 24], [16, 8, 16, 48, 48, 24, 12, 4, 24, 8, 1, 2, 4, 12, 6, 3], [8, 4, 8, 24, 24, 12, 6, 2, 12, 4, 2, 1, 2, 6, 3, 6], [16, 8, 16, 48, 48, 24, 12, 4, 24, 8, 4, 2, 1, 3, 6, 12], [48, 24, 48, 16, 16, 8, 4, 12, 8, 24, 12, 6, 3, 1, 2, 4], [24, 12, 24, 8, 8, 4, 2, 6, 4, 12, 6, 3, 6, 2, 1, 2], [48, 24, 48, 16, 16, 8, 4, 12, 8, 24, 3, 6, 12, 4, 2, 1]], 'jinv': '4331918256193377000,8368623442060794000,-1160733998424384000,-2242365893060213250', 'label': '4.4.2304.1-16.1-b5', 'local_data': [{'p': '(w^3-4*w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 8, 'ord_den_j': 0}], 'minD': '(4)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 256, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '626.22830848243234402537533419755294128', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 6.065893606996912, 'semistable': False, 'sha': 1, 'short_class_label': '16.1-b', 'short_label': '16.1-b5', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[1/2,-3,3/2,0],[7/2,-2,-9,9/2],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 909703652309677112}