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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.54546472802926', 'prec': 54}, 'abs_disc': 14272, 'ainvs': '4,-1,-3,1;0,0,0,0;3,-1,-3,1;43,-3,-79,21;291,0,-480,129', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(w^3-2*w^2-5*w+2)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.14272.1-81.1-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '81.1', 'conductor_norm': 81, 'conductor_norm_factors': [3], 'degree': 4, 'disc': '(21*w^3-63*w^2-27*w+81)', 'equation': '{y}^2+\\left(a^{3}-3a^{2}-a+4\\right){x}{y}+\\left(a^{3}-3a^{2}-a+3\\right){y}={x}^{3}+\\left(21a^{3}-79a^{2}-3a+43\\right){x}+129a^{3}-480a^{2}+291', 'field_label': '4.4.14272.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-44161394733457472/177147,1208734651678976/177147,72820918233614336/177147,-21181467867805696/177147', 'label': '4.4.14272.1-81.1-c1', 'local_data': [{'p': '(-w)', 'cp': 11, 'kod': 15, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 11, 'ord_den_j': 11}, {'p': '(w^3-2*w^2-5*w+2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 27, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(21*w^3-63*w^2-27*w+81)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 4782969, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '27.645014167725224545495623366761216327', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 18.49019960125672, 'semistable': True, 'sha': 4, 'short_class_label': '81.1-c', 'short_label': '81.1-c1', 'signature': [4, 0], 'tamagawa_product': 11, 'torsion_gens': ['[[0,-1,-7/2,1],[21/4,1/4,-25/4,2],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1685003802911987702}
Elliptic curve data - 4.4.14272.1-81.1-c1