{"torsion_structure": [3], "ainvs": "0,1;0,0;0,1;0,0;2,0", "cm": 0, "torsion_gens": ["[[-2,0],[0,-2],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.0.4.1", "galois_images": ["3B.1.1", "5B.1.3"], "conductor_norm": 1250, "abs_disc": 4, "iso_nlabel": 0, "rank_bounds": [1, 1], "conductor_ideal": "(25*w+25)", "base_change": ["50.a3", "400.d3"], "local_data": [{"p": "(w+1)", "cp": 2, "kod": 6, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-w-2)", "cp": 3, "kod": 4, "red": 0, "normp": 5, "rootno": -1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}, {"p": "(2*w+1)", "cp": 3, "kod": 4, "red": 0, "normp": 5, "rootno": -1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}], "analytic_rank": 1, "minD": "(1250)", "label": "2.0.4.1-1250.3-a3", "jinv": "-25/2,0", "conductor_label": "1250.3", "class_deg": 15, "reg": {"__RealLiteral__": 0, "data": "0.064899209853980867519354340036033970350", "prec": 137}, "class_size": 4, "class_label": "2.0.4.1-1250.3-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "1250.3-a3", "short_class_label": "1250.3-a", "isogeny_matrix": [[1, 15, 3, 5], [15, 1, 5, 3], [3, 5, 1, 15], [5, 3, 15, 1]], "torsion_order": 3, "equation": "{y}^2+i{x}{y}+i{y}={x}^{3}+2", "gens": ["[[0,1],[2,-1],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1189947366127361382, "heights": [{"__RealLiteral__": 0, "data": "0.064899209853980867519354340036033970350", "prec": 137}], "isodeg": [1, 3, 5, 15], "omega": {"__RealLiteral__": 0, "data": "4.2725002404569654263643326935944817542", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 18, "bad_primes": ["(w+1)", "(-w-2)", "(2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.1091275588264012661339291652363297942", "prec": 130}, "sha": 1, "torsion_primes": [3], "n_bad_primes": 3, "reducible_primes": [3, 5], "semistable": false, "disc": "(-1250)", "normdisc": 1562500, "conductor_norm_factors": [2, 5], "nonmax_primes": [3, 5], "nonmax_rad": 15, "root_analytic_conductor": 1.0626642061321099, "cm_type": 0}