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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '0.81558510150655969051895948793477714303', 'prec': 133}, 'abs_disc': 148, 'ainvs': '-2,-1,1;-3,-2,1;-1,0,1;8,-19,-16;-23,57,49', 'analytic_rank': 0, 'bad_primes': ['(w^2-w-2)'], 'base_change': [], 'class_deg': 8, 'class_label': '3.3.148.1-16.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w^2-2*w-4)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 3, 'disc': '(2*w-2)', 'equation': '{y}^2+\\left(a^{2}-a-2\\right){x}{y}+\\left(a^{2}-1\\right){y}={x}^{3}+\\left(a^{2}-2a-3\\right){x}^{2}+\\left(-16a^{2}-19a+8\\right){x}+49a^{2}+57a-23', 'field_label': '3.3.148.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'jinv': '37257972,6316064,-10821604', 'label': '3.3.148.1-16.1-a2', 'local_data': [{'p': '(w^2-w-2)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(2*w^2-2*w-4)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 16, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '158.75233586283428384067792528816724858', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.7256633476827707, 'semistable': False, 'sha': 1, 'short_class_label': '16.1-a', 'short_label': '16.1-a2', 'signature': [3, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[1,1,0],[2,0,-1],[1,0,0]]', '[[-1/4,2,5/4],[5/4,-1/2,-1],[1,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1420578704155300584}
Elliptic curve data - 3.3.148.1-16.1-a2