{"torsion_structure": [4], "ainvs": "0,0;-1,0;0,0;-136,0;-560,0", "cm": 0, "torsion_gens": ["[[-2,0],[10,-20],[1,0]]"], "number": 3, "rank": 2, "field_label": "2.0.3.1", "galois_images": ["2B"], "conductor_norm": 19200, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [2, 2], "conductor_ideal": "(-160*w+80)", "base_change": ["240.a2", "720.f2"], "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": "(2)", "cp": 4, "kod": -7, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 4, "ord_disc": 11, "ord_den_j": 0}, {"p": "(5)", "cp": 4, "kod": 8, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 2, "minD": "(3840000)", "label": "2.0.3.1-19200.1-a3", "jinv": "136835858/1875,0", "conductor_label": "19200.1", "class_deg": 4, "reg": {"__RealLiteral__": 0, "data": "0.33380875245711796179360156989917510999", "prec": 133}, "class_size": 4, "class_label": "2.0.3.1-19200.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "19200.1-a3", "short_class_label": "19200.1-a", "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "torsion_order": 4, "equation": "{y}^2={x}^{3}-{x}^{2}-136{x}-560", "gens": ["[[-32,0],[-100,200],[1,0]]", "[[-6,0],[-2,0],[1,0]]"], "ngens": 2, "signature": [0, 1], "trace_hash": 1817947814859372922, "heights": [{"__RealLiteral__": 0, "data": "0.37438407143046095384465079421796511311", "prec": 133}, {"__RealLiteral__": 0, "data": "0.89162113970738321163003419472230015678", "prec": 133}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "0.87039672143611627727395977555906610187", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 32, "bad_primes": ["(-2*w+1)", "(2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.6839493849090373120463358435200379643", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(3840000)", "normdisc": 14745600000000, "conductor_norm_factors": [2, 3, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.821899799477402, "cm_type": 0}