{"Clabel": "31824bk6", "lmfdb_label": "31824.bg1", "Ciso": "31824bk", "lmfdb_iso": "31824.bg", "regulator": 1, "ainvs": [0, 0, 0, -2905059, -1905520862], "jinv": [908031902324522977, 161726530797], "min_quad_twist_ainvs": [1, 1, 1, -20174, -1111138], "iso_nlabel": 32, "Cnumber": 6, "lmfdb_number": 1, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 8, "class_size": 4, "min_quad_twist_disc": 12, "faltings_index": 4, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [2], "conductor": 31824, "nonmax_rad": 2, "num_int_pts": 1, "sha": 4, "bad_primes": [2, 3, 13, 17], "degree": 524288, "semistable": true, "potential_good_reduction": false} {"Clabel": "31824bk4", "lmfdb_label": "31824.bg2", "Ciso": "31824bk", "lmfdb_iso": "31824.bg", "regulator": 1, "ainvs": [0, 0, 0, -200019, -23354030], "jinv": [296380748763217, 92608836489], "min_quad_twist_ainvs": [1, 1, 1, -1389, -14094], "iso_nlabel": 32, "Cnumber": 4, "lmfdb_number": 2, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 8, "class_size": 3, "min_quad_twist_disc": 12, "faltings_index": 2, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [2], "conductor": 31824, "nonmax_rad": 2, "num_int_pts": 3, "sha": 4, "bad_primes": [2, 3, 13, 17], "degree": 262144, "semistable": true, "potential_good_reduction": false} {"Clabel": "31824bk2", "lmfdb_label": "31824.bg3", "Ciso": "31824bk", "lmfdb_iso": "31824.bg", "regulator": 1, "ainvs": [0, 0, 0, -78339, 8161090], "jinv": [17806161424897, 668584449], "min_quad_twist_ainvs": [1, 1, 1, -544, 4496], "iso_nlabel": 32, "Cnumber": 2, "lmfdb_number": 3, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 8, "class_size": 3, "min_quad_twist_disc": 12, "faltings_index": 1, "faltings_ratio": 2, "isogeny_degrees": [1, 2, 4], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 31824, "nonmax_rad": 2, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 13, 17], "degree": 131072, "semistable": true, "potential_good_reduction": false} {"Clabel": "31824bk1", "lmfdb_label": "31824.bg4", "Ciso": "31824bk", "lmfdb_iso": "31824.bg", "regulator": 1, "ainvs": [0, 0, 0, -77619, 8323378], "jinv": [17319700013617, 25857], "min_quad_twist_ainvs": [1, 1, 1, -539, 4592], "iso_nlabel": 32, "Cnumber": 1, "lmfdb_number": 4, "cm": 0, "num_bad_primes": 4, "optimality": 1, "manin_constant": 1, "torsion": 2, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 8, "class_size": 6, "min_quad_twist_disc": 12, "faltings_index": 0, "faltings_ratio": 1, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 31824, "nonmax_rad": 2, "num_int_pts": 1, "sha": 1, "bad_primes": [2, 3, 13, 17], "degree": 65536, "semistable": true, "potential_good_reduction": false} {"Clabel": "31824bk3", "lmfdb_label": "31824.bg5", "Ciso": "31824bk", "lmfdb_iso": "31824.bg", "regulator": 1, "ainvs": [0, 0, 0, 31821, 29289778], "jinv": [1193377118543, 124806800313], "min_quad_twist_ainvs": [1, 1, 1, 221, 17042], "iso_nlabel": 32, "Cnumber": 3, "lmfdb_number": 5, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 0, "analytic_rank": 0, "signD": -1, "class_deg": 8, "class_size": 4, "min_quad_twist_disc": 12, "faltings_index": 3, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 31824, "nonmax_rad": 2, "num_int_pts": 1, "sha": 1, "bad_primes": [2, 3, 13, 17], "degree": 262144, "semistable": true, "potential_good_reduction": false} {"Clabel": "31824bk5", "lmfdb_label": "31824.bg6", "Ciso": "31824bk", "lmfdb_iso": "31824.bg", "regulator": 1, "ainvs": [0, 0, 0, 558141, -158154878], "jinv": [6439735268725823, 7345472585373], "min_quad_twist_ainvs": [1, 1, 1, 3876, -89910], "iso_nlabel": 32, "Cnumber": 5, "lmfdb_number": 6, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 0, "analytic_rank": 0, "signD": -1, "class_deg": 8, "class_size": 4, "min_quad_twist_disc": 12, "faltings_index": 5, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [2], "conductor": 31824, "nonmax_rad": 2, "num_int_pts": 1, "sha": 16, "bad_primes": [2, 3, 13, 17], "degree": 524288, "semistable": true, "potential_good_reduction": false}