{"torsion_structure": [4], "ainvs": "0,1;1,0;0,0;-1712,0;22506,0", "cm": 0, "torsion_gens": ["[[-7/2,0],[-675/4,7/4],[1,0]]"], "number": 4, "rank": 1, "field_label": "2.2.12.1", "galois_images": ["2B", "3B"], "conductor_norm": 3750, "abs_disc": 12, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(25*w+75)", "base_change": ["1200.k5", "450.d5"], "local_data": [{"p": "(w+1)", "cp": 2, "kod": 6, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(w)", "cp": 24, "kod": 28, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 24, "ord_den_j": 24}, {"p": "(5)", "cp": 4, "kod": -5, "red": 0, "normp": 25, "rootno": 1, "ord_cond": 2, "ord_disc": 7, "ord_den_j": 1}], "analytic_rank": 1, "minD": "(83037656250)", "label": "2.2.12.1-3750.1-c4", "jinv": "35578826569/5314410,0", "conductor_label": "3750.1", "class_deg": 12, "reg": {"__RealLiteral__": 0, "data": "0.44811768362898181507347265554723613101", "prec": 133}, "class_size": 8, "class_label": "2.2.12.1-3750.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "3750.1-c4", "short_class_label": "3750.1-c", "isogeny_matrix": [[1, 3, 4, 12, 6, 2, 12, 4], [3, 1, 12, 4, 2, 6, 4, 12], [4, 12, 1, 12, 6, 2, 3, 4], [12, 4, 12, 1, 2, 6, 4, 3], [6, 2, 6, 2, 1, 3, 2, 6], [2, 6, 2, 6, 3, 1, 6, 2], [12, 4, 3, 4, 2, 6, 1, 12], [4, 12, 4, 3, 6, 2, 12, 1]], "torsion_order": 4, "equation": "{y}^2+a{x}{y}={x}^{3}+{x}^{2}-1712{x}+22506", "gens": ["[[-26,0],[-225,13],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 2111303001206618018, "heights": [{"__RealLiteral__": 0, "data": "0.44811768362898181507347265554723613101", "prec": 133}], "isodeg": [1, 2, 3, 4, 6, 12], "omega": {"__RealLiteral__": 0, "data": "1.0734978268437574816308737848697340790", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 192, "bad_primes": ["(w+1)", "(w)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.3328354395412781923301212728203193513", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": false, "disc": "(83037656250)", "normdisc": 6895252355493164062500, "conductor_norm_factors": [2, 3, 5], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.4223505570513915, "cm_type": 0}