{"torsion_structure": [2, 4], "ainvs": "1,0;1,0;1,0;-84,0;261,0", "cm": 0, "torsion_gens": ["[[19/4,0],[-23/8,0],[1,0]]", "[[3,0],[-9,0],[1,0]]"], "number": 5, "rank": 0, "field_label": "2.2.53.1", "galois_images": ["2Cs"], "conductor_norm": 1764, "abs_disc": 53, "iso_nlabel": 2, "rank_bounds": [0, 0], "conductor_ideal": "(42)", "base_change": ["42.a4", "117978.h4"], "local_data": [{"p": "(-w-2)", "cp": 2, "kod": 6, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-w+3)", "cp": 2, "kod": 6, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(2)", "cp": 4, "kod": 8, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(3)", "cp": 4, "kod": 8, "red": 1, "normp": 9, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 0, "minD": "(63504)", "label": "2.2.53.1-1764.1-c5", "jinv": "65597103937/63504,0", "conductor_label": "1764.1", "class_deg": 8, "reg": 1, "class_size": 6, "class_label": "2.2.53.1-1764.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "1764.1-c5", "short_class_label": "1764.1-c", "isogeny_matrix": [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], "torsion_order": 8, "equation": "{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-84{x}+261", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 817829765079847373, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "12.078735029821107066834839275826021228", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 64, "bad_primes": ["(-w-2)", "(-w+3)", "(2)", "(3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.6591418554830124023735837499671216757", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2], "semistable": true, "disc": "(63504)", "normdisc": 4032758016, "conductor_norm_factors": [2, 3, 7], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 4.216005157721823, "cm_type": 0}