-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '5.1048533932511866502713819434240374984', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;-1,1;0,0;-128,-63;575,416', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-3*w+1)', '(2)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.3.1-86016.1-bm', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(64*w-320)', 'conductor_label': '86016.1', 'conductor_norm': 86016, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(98304*w-147456)', 'equation': '{y}^2={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-63a-128\\right){x}+416a+575', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[3,5],[-20,16],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.0391424083506705209072068875039398458', 'prec': 130}], 'iso_label': 'bm', 'iso_nlabel': 38, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 2, 2, 4, 4, 2], [2, 1, 4, 2, 2, 4], [2, 4, 1, 8, 8, 4], [4, 2, 8, 1, 4, 8], [4, 2, 8, 4, 1, 8], [2, 4, 4, 8, 8, 1]], 'jinv': '59625200/21,-97542176/21', 'label': '2.0.3.1-86016.1-bm5', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-3*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 14, 'ord_den_j': 0}], 'minD': '(-147456*w+49152)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 16911433728, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '1.0636012652413147996265084828155163165', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.0391424083506705209072068875039398458', 'prec': 130}, 'root_analytic_conductor': 2.65059876659507, 'semistable': False, 'sha': 1, 'short_class_label': '86016.1-bm', 'short_label': '86016.1-bm5', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[7,1],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 451383782250664689}