{"torsion_structure": [2, 2], "ainvs": "0,0;0,0;0,0;-1184384449,-174627960;0,0", "cm": -4, "torsion_gens": ["[[-24335,-3588],[0,0],[1,0]]", "[[0,0],[0,0],[1,0]]"], "number": 2, "rank": 1, "field_label": "2.2.184.1", "galois_images": ["2Cs"], "conductor_norm": 32, "abs_disc": 184, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(-92*w+624)", "base_change": ["16928.d3", "64.a3"], "local_data": [{"p": "(-23*w+156)", "cp": 2, "kod": -7, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 5, "ord_disc": 12, "ord_den_j": 0}], "analytic_rank": 1, "minD": "(64)", "label": "2.2.184.1-32.1-c2", "jinv": "1728,0", "conductor_label": "32.1", "class_deg": 4, "reg": {"__RealLiteral__": 0, "data": "10.367879211552647176635735904901791836", "prec": 130}, "class_size": 4, "class_label": "2.2.184.1-32.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "32.1-c2", "short_class_label": "32.1-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={x}^{3}+\\left(-174627960a-1184384449\\right){x}", "gens": ["[[1022678375/6647,6555900/289],[-24354624840/289,-32292905495760/2598977],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 252396765280306557, "heights": [{"__RealLiteral__": 0, "data": "10.367879211552647176635735904901791836", "prec": 130}], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "27.500743272081491309960383119242228792", "prec": 130}, "potential_good_reduction": true, "tamagawa_product": 2, "bad_primes": ["(-23*w+156)"], "Lvalue": {"__RealLiteral__": 0, "data": "5.2549121242674324858390890471861485084", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 1, "reducible_primes": [2], "semistable": false, "disc": "(64)", "normdisc": 4096, "conductor_norm_factors": [2], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.882935722897528, "cm_type": -1}