{"torsion_structure": [6], "ainvs": "0,1;0,0;0,0;-8,0;0,0", "cm": 0, "torsion_gens": ["[[2,0],[0,-4],[1,0]]"], "number": 3, "rank": 0, "field_label": "2.0.4.1", "galois_images": ["2B", "3B.1.1"], "conductor_norm": 6498, "abs_disc": 4, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(57*w+57)", "base_change": ["912.c3", "114.c3"], "local_data": [{"p": "(w+1)", "cp": 12, "kod": 16, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 12, "ord_den_j": 12}, {"p": "(3)", "cp": 3, "kod": 7, "red": 1, "normp": 9, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(19)", "cp": 1, "kod": 5, "red": 1, "normp": 361, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(32832)", "label": "2.0.4.1-6498.1-b3", "jinv": "57066625/32832,0", "conductor_label": "6498.1", "class_deg": 6, "reg": 1, "class_size": 4, "class_label": "2.0.4.1-6498.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "6498.1-b3", "short_class_label": "6498.1-b", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 6, "non-surjective_primes": [2, 3], "equation": "{y}^2+i{x}{y}={x}^{3}-8{x}", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1661870349187886967, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "2.42931226012015", "prec": 54}, "potential_good_reduction": false, "tamagawa_product": 36, "bad_primes": ["(w+1)", "(3)", "(19)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.42931226012016", "prec": 54}, "sha": 1, "torsion_primes": [2, 3], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": true, "disc": "(32832)", "normdisc": 1077940224, "conductor_norm_factors": [2, 3, 19], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 1.6045877633171717, "cm_type": 0}