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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.63518027104281', 'prec': 54}, 'abs_disc': 17600, 'ainvs': '1,-4,0,1/2;1,3,0,-1/2;-4,-3,1/2,1/2;-27,16,3,-2;-4637,2128,1003/2,-461/2', 'analytic_rank': 0, 'bad_primes': ['(-1/2*w^3+4*w+2)'], 'base_change': [], 'class_deg': 3, 'class_label': '4.4.17600.1-4.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-1/2*w^3+4*w+2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-8*w^3-16*w^2+64*w+128)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{3}-4a+1\\right){x}{y}+\\left(\\frac{1}{2}a^{3}+\\frac{1}{2}a^{2}-3a-4\\right){y}={x}^{3}+\\left(-\\frac{1}{2}a^{3}+3a+1\\right){x}^{2}+\\left(-2a^{3}+3a^{2}+16a-27\\right){x}-\\frac{461}{2}a^{3}+\\frac{1003}{2}a^{2}+2128a-4637', 'field_label': '4.4.17600.1', 'galois_images': ['3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '11343627/16,2476531/8,-1259703/16,-2103593/64', 'label': '4.4.17600.1-4.1-a2', 'local_data': [{'p': '(-1/2*w^3+4*w+2)', 'cp': 1, 'kod': 13, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}], 'minD': '(-8*w^3+64*w+32)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -262144, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '216.93117694562527560287970649173869762', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 14.097833799524388, 'semistable': True, 'sha': 1, 'short_class_label': '4.1-a', 'short_label': '4.1-a2', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1034049160119062031}
Elliptic curve data - 4.4.17600.1-4.1-a2