-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.9732557169859065958638029119433448878', 'prec': 130}, 'abs_disc': 7, 'ainvs': '0,0;-1,1;0,0;0,-8;-4,12', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(3)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.0.7.1-9216.7-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-48*w-48)', 'conductor_label': '9216.7', 'conductor_norm': 9216, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(36864)', 'equation': '{y}^2={x}^{3}+\\left(a-1\\right){x}^{2}-8a{x}+12a-4', 'field_label': '2.0.7.1', 'galois_images': ['2Cs'], 'gens': ['[[4,-2],[6,-6],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.43491924549412608909565806705253940499', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '-21161/9,-13685/9', 'label': '2.0.7.1-9216.7-a2', 'local_data': [{'p': '(w)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}, {'p': '(-w+1)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 12, 'ord_den_j': 0}, {'p': '(3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(36864)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1358954496, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.2609068501924901051001560854799602891', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.43491924549412608909565806705253940499', 'prec': 133}, 'root_analytic_conductor': 2.316451384301005, 'semistable': False, 'sha': 1, 'short_class_label': '9216.7-a', 'short_label': '9216.7-a2', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-2,-2],[0,0],[1,0]]', '[[1,1],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 412560195793929397}