{"torsion_structure": [], "ainvs": "0,0;0,0;1,0;0,0;5,3", "cm": -3, "torsion_gens": [], "number": 1, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["31Cs.7.1"], "conductor_norm": 77841, "abs_disc": 3, "iso_nlabel": -2, "rank_bounds": [0, 0], "conductor_ideal": "(315*w-216)", "base_change": [], "local_data": [{"p": "(-2*w+1)", "cp": 1, "kod": -2, "red": 0, "normp": 3, "rootno": 1, "ord_cond": 4, "ord_disc": 12, "ord_den_j": 0}, {"p": "(6*w-5)", "cp": 1, "kod": 2, "red": 0, "normp": 31, "rootno": -1, "ord_cond": 2, "ord_disc": 2, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(25515*w-17496)", "label": "2.0.3.1-77841.3-CMb1", "jinv": "0,0", "conductor_label": "77841.3", "class_deg": 1, "reg": 1, "class_size": 1, "class_label": "2.0.3.1-77841.3-CMb", "iso_label": "CMb", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "77841.3-CMb1", "short_class_label": "77841.3-CMb", "isogeny_matrix": [[1]], "torsion_order": 1, "equation": "{y}^2+{y}={x}^{3}+3a+5", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1503567985872689001, "heights": [], "isodeg": [1], "omega": {"__RealLiteral__": 0, "data": "2.6413532154432572346166581630773169538", "prec": 130}, "potential_good_reduction": true, "tamagawa_product": 1, "bad_primes": ["(-2*w+1)", "(6*w-5)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.0499719799220962829184994452286087642", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 2, "reducible_primes": [], "semistable": false, "disc": "(-17496*w-8019)", "normdisc": 510714801, "conductor_norm_factors": [3, 31], "nonmax_primes": [31], "nonmax_rad": 31, "root_analytic_conductor": 2.5852424739627753, "cm_type": 1}