{"torsion_structure": [2, 2], "ainvs": "0,0;1,0;0,0;-4,0;-4,0", "cm": 0, "torsion_gens": ["[[-2,0],[0,0],[1,0]]", "[[-1,0],[0,0],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.2.60.1", "galois_images": ["2Cs"], "conductor_norm": 24, "abs_disc": 60, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(2*w-6)", "base_change": ["48.a4", "1800.m4"], "local_data": [{"p": "(2,w+1)", "cp": 2, "kod": 3, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 4, "ord_den_j": 0}, {"p": "(3,w)", "cp": 4, "kod": 8, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 1, "minD": "(36)", "label": "2.2.60.1-24.1-c3", "jinv": "35152/9,0", "conductor_label": "24.1", "class_deg": 8, "reg": {"__RealLiteral__": 0, "data": "0.83296517386586589499241664366508585907", "prec": 133}, "class_size": 6, "class_label": "2.2.60.1-24.1-c", "iso_label": "c", "degree": 2, "non_min_p": ["(2,w+1)"], "q_curve": true, "short_label": "24.1-c3", "short_class_label": "24.1-c", "isogeny_matrix": [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], "torsion_order": 4, "equation": "{y}^2={x}^{3}+{x}^{2}-4{x}-4", "gens": ["[[8,0],[0,-6],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 1805623767918281732, "heights": [{"__RealLiteral__": 0, "data": "0.83296517386586589499241664366508585907", "prec": 133}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "22.734034070006347604148590511773734759", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(2,w+1)", "(3,w)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.4447121184162725617976477853579749777", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": false, "disc": "(2304)", "normdisc": 5308416, "conductor_norm_factors": [2, 3], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.5320290103320087, "cm_type": 0}