{"torsion_structure": [2], "ainvs": "1,1;0,1;0,1;74,-14;7,37", "cm": -4, "torsion_gens": ["[[0,-1/2],[-1/4,-1/4],[1,0]]"], "number": 1, "rank": 0, "field_label": "2.0.4.1", "galois_images": [], "conductor_norm": 2025, "abs_disc": 4, "iso_nlabel": -3, "rank_bounds": [0, 0], "conductor_ideal": "(36*w+27)", "base_change": [], "local_data": [{"p": "(-w-2)", "cp": 2, "kod": -3, "red": 0, "normp": 5, "rootno": -1, "ord_cond": 2, "ord_disc": 9, "ord_den_j": 0}, {"p": "(3)", "cp": 2, "kod": -3, "red": 0, "normp": 9, "rootno": 1, "ord_cond": 2, "ord_disc": 9, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(23599917*w+14132394)", "label": "2.0.4.1-2025.1-CMc1", "jinv": "1728,0", "conductor_label": "2025.1", "class_deg": 1, "reg": 1, "class_size": 1, "class_label": "2.0.4.1-2025.1-CMc", "iso_label": "CMc", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "2025.1-CMc1", "short_class_label": "2025.1-CMc", "isogeny_matrix": [[1]], "torsion_order": 2, "equation": "{y}^2+\\left(i+1\\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\\left(-14i+74\\right){x}+37i+7", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 973726394020237485, "heights": [], "isodeg": [1], "omega": {"__RealLiteral__": 0, "data": "0.79141640947407023610088747059050169988", "prec": 133}, "potential_good_reduction": true, "tamagawa_product": 4, "bad_primes": ["(-w-2)", "(3)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.79141640947407023610088747059050169988", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [], "semistable": false, "disc": "(14132394*w-23599917)", "normdisc": 756680642578125, "conductor_norm_factors": [3, 5], "nonmax_primes": [], "nonmax_rad": 1, "root_analytic_conductor": 1.1988774901477828, "cm_type": 1}