{"torsion_structure": [3], "ainvs": "0,1;0,0;0,0;0,-112;392,0", "cm": 0, "torsion_gens": ["[[-2,2],[-24,0],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["3B.1.1[2]"], "conductor_norm": 122500, "abs_disc": 3, "iso_nlabel": 3, "rank_bounds": [0, 0], "conductor_ideal": "(350)", "base_change": ["350.e2", "3150.m2"], "local_data": [{"p": "(-3*w+1)", "cp": 2, "kod": 6, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(3*w-2)", "cp": 2, "kod": 6, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(2)", "cp": 3, "kod": 7, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(5)", "cp": 3, "kod": -4, "red": 0, "normp": 25, "rootno": 1, "ord_cond": 2, "ord_disc": 8, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(153125000)", "label": "2.0.3.1-122500.2-d2", "jinv": "397535/392,0", "conductor_label": "122500.2", "class_deg": 3, "reg": 1, "class_size": 2, "class_label": "2.0.3.1-122500.2-d", "iso_label": "d", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "122500.2-d2", "short_class_label": "122500.2-d", "isogeny_matrix": [[1, 3], [3, 1]], "torsion_order": 3, "equation": "{y}^2+a{x}{y}={x}^{3}-112a{x}+392", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1044888627355435901, "heights": [], "isodeg": [1, 3], "omega": {"__RealLiteral__": 0, "data": "0.59744403073429722639645783035821669423", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 36, "bad_primes": ["(-3*w+1)", "(3*w-2)", "(2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.7594757757614524181229385698361878423", "prec": 130}, "sha": 1, "torsion_primes": [3], "n_bad_primes": 4, "reducible_primes": [3], "semistable": false, "disc": "(-153125000)", "normdisc": 23447265625000000, "conductor_norm_factors": [2, 5, 7], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 2.8955642303762565, "cm_type": 0}