{"torsion_structure": [6], "ainvs": "1,1;0,0;1,1;1,1;2,1", "cm": 0, "torsion_gens": ["[[3,1],[4,1],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.2.53.1", "galois_images": ["2B", "3B.1.1"], "conductor_norm": 49, "abs_disc": 53, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(7)", "base_change": [], "local_data": [{"p": "(-w-2)", "cp": 1, "kod": 5, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-w+3)", "cp": 2, "kod": 6, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 0, "minD": "(-7*w+21)", "label": "2.2.53.1-49.1-b2", "jinv": "4416725/49,-1063343/49", "conductor_label": "49.1", "class_deg": 6, "reg": 1, "class_size": 4, "class_label": "2.2.53.1-49.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "49.1-b2", "short_class_label": "49.1-b", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 6, "equation": "{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a+1\\right){x}+a+2", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 596217708234933732, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "24.303854828122580696622654329065947112", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-w-2)", "(-w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.6691956026589931167081874417360741198", "prec": 130}, "sha": 9, "torsion_primes": [2, 3], "n_bad_primes": 2, "reducible_primes": [2, 3], "semistable": true, "disc": "(-7*w+21)", "normdisc": -343, "conductor_norm_factors": [7], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 1.7211768982267637, "cm_type": 0}