{"torsion_structure": [4], "ainvs": "1,1;1,0;0,0;-197,-57;1119,336", "cm": 0, "torsion_gens": ["[[1,0],[-22,-7],[1,0]]"], "number": 3, "rank": 0, "field_label": "2.2.44.1", "galois_images": ["2B"], "conductor_norm": 200, "abs_disc": 44, "iso_nlabel": 2, "rank_bounds": [0, 0], "conductor_ideal": "(10*w+30)", "base_change": [], "local_data": [{"p": "(w+3)", "cp": 2, "kod": -5, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 8, "ord_den_j": 0}, {"p": "(w-4)", "cp": 2, "kod": 6, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-w-4)", "cp": 1, "kod": 5, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(80*w-320)", "label": "2.2.44.1-200.1-c3", "jinv": "6981998611492/25,-2105151487912/25", "conductor_label": "200.1", "class_deg": 4, "reg": 1, "class_size": 4, "class_label": "2.2.44.1-200.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "200.1-c3", "short_class_label": "200.1-c", "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "torsion_order": 4, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+{x}^{2}+\\left(-57a-197\\right){x}+336a+1119", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1762449437651199247, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "20.960386365331544774527598777808415608", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(w+3)", "(w-4)", "(-w-4)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.1598971379402689145373963209136110337", "prec": 130}, "sha": 4, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(-80*w+320)", "normdisc": 32000, "conductor_norm_factors": [2, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.2290632440501335, "cm_type": 0}