{"torsion_structure": [], "ainvs": "1,0;-1,0;1,0;0,0;0,0", "cm": 0, "torsion_gens": [], "number": 1, "rank": 2, "field_label": "2.2.53.1", "galois_images": [], "conductor_norm": 53, "abs_disc": 53, "iso_nlabel": 0, "rank_bounds": [2, 2], "conductor_ideal": "(-2*w+1)", "base_change": ["53.a1", "2809.a1"], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 6, "red": -1, "normp": 53, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 2, "minD": "(53)", "label": "2.2.53.1-53.1-a1", "jinv": "3375/53,0", "conductor_label": "53.1", "class_deg": 1, "reg": {"__RealLiteral__": 0, "data": "0.10157663995167103878434535943991690888", "prec": 133}, "class_size": 1, "class_label": "2.2.53.1-53.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "53.1-a1", "short_class_label": "53.1-a", "isogeny_matrix": [[1]], "torsion_order": 1, "equation": "{y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}", "gens": ["[[23/9,1/3],[-157/27,-25/27],[1,0]]", "[[0,0],[0,0],[1,0]]"], "ngens": 2, "signature": [2, 0], "trace_hash": 1639477125414238713, "heights": [{"__RealLiteral__": 0, "data": "2.2314626154519063970334596720288758329", "prec": 130}, {"__RealLiteral__": 0, "data": "0.092981484638654303348041905509678109674", "prec": 137}], "isodeg": [1], "omega": {"__RealLiteral__": 0, "data": "21.973978603134309926085227606165920751", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.4527573861629018645956741319545767537", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 1, "reducible_primes": [], "semistable": true, "disc": "(-53)", "normdisc": 2809, "conductor_norm_factors": [53], "nonmax_primes": [], "nonmax_rad": 1, "root_analytic_conductor": 1.7552761655979345, "cm_type": 0}