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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.28242135208405', 'prec': 54}, 'abs_disc': 19821, 'ainvs': '-4,-1,1,0;1,-6,-1/3,2/3;1,1,0,0;3,-30,1,3;26,53,-1/3,-22/3', 'analytic_rank': 0, 'bad_primes': ['(1/3*w^3+1/3*w^2-3*w)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.19821.1-25.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1/3*w^3+1/3*w^2-3*w)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 4, 'disc': '(1/3*w^3+1/3*w^2-3*w)', 'equation': '{y}^2+\\left(a^{2}-a-4\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(\\frac{2}{3}a^{3}-\\frac{1}{3}a^{2}-6a+1\\right){x}^{2}+\\left(3a^{3}+a^{2}-30a+3\\right){x}-\\frac{22}{3}a^{3}-\\frac{1}{3}a^{2}+53a+26', 'field_label': '4.4.19821.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '5853102/5,3698979,3497552/5,-3609194/5', 'label': '4.4.19821.1-25.1-a1', 'local_data': [{'p': '(1/3*w^3+1/3*w^2-3*w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 25, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(1/3*w^3+1/3*w^2-3*w)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 25, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1285.3416885176721609331802308482236190', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 18.812384014476457, 'semistable': True, 'sha': 1, 'short_class_label': '25.1-a', 'short_label': '25.1-a1', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[0,4,-1/3,-1/3],[-1,6,5/3,-4/3],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1902865890495000584}
Elliptic curve data - 4.4.19821.1-25.1-a1