{"torsion_structure": [2], "ainvs": "0,0;-1,0;0,0;24,0;-144,0", "cm": 0, "torsion_gens": ["[[4,0],[0,0],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["2B", "3B[2]"], "conductor_norm": 19200, "abs_disc": 3, "iso_nlabel": 4, "rank_bounds": [0, 0], "conductor_ideal": "(-160*w+80)", "base_change": ["720.j8", "240.b8"], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 10, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(2)", "cp": 4, "kod": -12, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 4, "ord_disc": 16, "ord_den_j": 4}, {"p": "(5)", "cp": 1, "kod": 5, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(8847360)", "label": "2.0.3.1-19200.1-e2", "jinv": "357911/2160,0", "conductor_label": "19200.1", "class_deg": 12, "reg": 1, "class_size": 8, "class_label": "2.0.3.1-19200.1-e", "iso_label": "e", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "19200.1-e2", "short_class_label": "19200.1-e", "isogeny_matrix": [[1, 3, 4, 12, 6, 2, 12, 4], [3, 1, 12, 4, 2, 6, 4, 12], [4, 12, 1, 12, 6, 2, 3, 4], [12, 4, 12, 1, 2, 6, 4, 3], [6, 2, 6, 2, 1, 3, 2, 6], [2, 6, 2, 6, 3, 1, 6, 2], [12, 4, 3, 4, 2, 6, 1, 12], [4, 12, 4, 3, 6, 2, 12, 1]], "torsion_order": 2, "equation": "{y}^2={x}^{3}-{x}^{2}+24{x}-144", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 2056857250594470235, "heights": [], "isodeg": [1, 2, 3, 4, 6, 12], "omega": {"__RealLiteral__": 0, "data": "0.97071760525957984774787504161161483168", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(-2*w+1)", "(2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.2417762828149092317762105253229684113", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": false, "disc": "(-8847360)", "normdisc": 78275778969600, "conductor_norm_factors": [2, 3, 5], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 1.821899799477402, "cm_type": 0}