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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.73574856498497', 'prec': 54}, 'abs_disc': 8000, 'ainvs': '0,-2,0,1/2;-2,0,1/2,0;1,-2,0,1/2;-182,116,47/2,-33/2;-1053,661,138,-93', 'analytic_rank': 0, 'bad_primes': ['(1/2*w^3+1/2*w^2-3*w-5)'], 'base_change': [], 'class_deg': 10, 'class_label': '4.4.8000.1-25.1-a', 'class_size': 4, 'cm': -40, 'cm_type': -1, 'conductor_ideal': '(-w^2+5)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 4, 'disc': '(5*w^2-25)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{3}-2a\\right){x}{y}+\\left(\\frac{1}{2}a^{3}-2a+1\\right){y}={x}^{3}+\\left(\\frac{1}{2}a^{2}-2\\right){x}^{2}+\\left(-\\frac{33}{2}a^{3}+\\frac{47}{2}a^{2}+116a-182\\right){x}-93a^{3}+138a^{2}+661a-1053', 'field_label': '4.4.8000.1', 'galois_images': ['5B.1.4[2]'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 10, 2, 5], [10, 1, 5, 2], [2, 5, 1, 10], [5, 2, 10, 1]], 'jinv': '688737600,0,-95178240,0', 'label': '4.4.8000.1-25.1-a1', 'local_data': [{'p': '(1/2*w^3+1/2*w^2-3*w-5)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(-5*w^2+25)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 15625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '77.625035663082087202678421946587966980', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 11.95159995817362, 'semistable': False, 'sha': 4, 'short_class_label': '25.1-a', 'short_label': '25.1-a1', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-17/2,4,3/2,-1/2],[9/2,0,-1,-3/8],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 220004592910905691}
Elliptic curve data - 4.4.8000.1-25.1-a1