{"torsion_structure": [2], "ainvs": "1,0;0,0;1,0;-751,0;-6046,0", "cm": 0, "torsion_gens": ["[[-9,0],[4,0],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.0.7.1", "galois_images": ["2B", "3B.1.2"], "conductor_norm": 10404, "abs_disc": 7, "iso_nlabel": 1, "rank_bounds": [1, 1], "conductor_ideal": "(102)", "base_change": ["102.b1", "4998.d1"], "local_data": [{"p": "(w)", "cp": 2, "kod": 22, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 18, "ord_den_j": 18}, {"p": "(-w+1)", "cp": 2, "kod": 22, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 18, "ord_den_j": 18}, {"p": "(3)", "cp": 2, "kod": 6, "red": 1, "normp": 9, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(17)", "cp": 3, "kod": 7, "red": 1, "normp": 289, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "analytic_rank": 1, "minD": "(11591221248)", "label": "2.0.7.1-10404.2-b3", "jinv": "46753267515625/11591221248,0", "conductor_label": "10404.2", "class_deg": 6, "reg": {"__RealLiteral__": 0, "data": "0.87191189439236119605868977828570527530", "prec": 133}, "class_size": 4, "class_label": "2.0.7.1-10404.2-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "10404.2-b3", "short_class_label": "10404.2-b", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 2, "equation": "{y}^2+{x}{y}+{y}={x}^{3}-751{x}-6046", "gens": ["[[-575/7,0],[-11068/49,26112/49],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1816161673737617468, "heights": [{"__RealLiteral__": 0, "data": "0.87191189439236119605868977828570527530", "prec": 133}], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "0.27724528994755945093548865340990497522", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 24, "bad_primes": ["(w)", "(-w+1)", "(3)", "(17)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.1927998897728714468980882752951483524", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2, 3], "semistable": true, "disc": "(11591221248)", "normdisc": 134356410020086677504, "conductor_norm_factors": [2, 3, 17], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.387743433520323, "cm_type": 0}