{"torsion_structure": [2, 4], "ainvs": "0,1;1,0;0,0;-6576,0;-247536,0", "cm": 0, "torsion_gens": ["[[-48,12],[12,24],[1,0]]", "[[-49,0],[0,-120],[1,0]]"], "number": 1, "rank": 1, "field_label": "2.0.8.1", "galois_images": ["2Cs"], "conductor_norm": 41616, "abs_disc": 8, "iso_nlabel": 6, "rank_bounds": [1, 1], "conductor_ideal": "(204)", "base_change": ["3264.m3", "816.b3"], "local_data": [{"p": "(w)", "cp": 4, "kod": -10, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 4, "ord_disc": 14, "ord_den_j": 2}, {"p": "(-w-1)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(w-1)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-2*w+3)", "cp": 8, "kod": 12, "red": 1, "normp": 17, "rootno": -1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(2*w+3)", "cp": 8, "kod": 12, "red": 1, "normp": 17, "rootno": -1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}], "analytic_rank": 1, "minD": "(8036072572032)", "label": "2.0.8.1-41616.5-g1", "jinv": "-491411892194497/125563633938,0", "conductor_label": "41616.5", "class_deg": 16, "reg": {"__RealLiteral__": 0, "data": "1.9134908847442385566857514407286902998", "prec": 130}, "class_size": 8, "class_label": "2.0.8.1-41616.5-g", "iso_label": "g", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "41616.5-g1", "short_class_label": "41616.5-g", "isogeny_matrix": [[1, 2, 2, 8, 4, 8, 2, 4], [2, 1, 4, 16, 8, 16, 4, 8], [2, 4, 1, 16, 8, 16, 4, 8], [8, 16, 16, 1, 2, 4, 4, 8], [4, 8, 8, 2, 1, 2, 2, 4], [8, 16, 16, 4, 2, 1, 4, 8], [2, 4, 4, 4, 2, 4, 1, 2], [4, 8, 8, 8, 4, 8, 2, 1]], "torsion_order": 8, "equation": "{y}^2+a{x}{y}={x}^{3}+{x}^{2}-6576{x}-247536", "gens": ["[[-1857/32,0],[0,-36789/256],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1914436307039929810, "heights": [{"__RealLiteral__": 0, "data": "1.9134908847442385566857514407286902998", "prec": 130}], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "0.091877073605974043070090898313343550261", "prec": 137}, "potential_good_reduction": false, "tamagawa_product": 1024, "bad_primes": ["(w)", "(-w-1)", "(w-1)", "(-2*w+3)", "(2*w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.9780343798598310070341526577267025247", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 5, "reducible_primes": [2], "semistable": false, "disc": "(-8036072572032)", "normdisc": 64578462382965003828609024, "conductor_norm_factors": [2, 3, 17], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 3.6099287541270066, "cm_type": 0}