{"Clabel": "8400bp5", "lmfdb_label": "8400.p1", "Ciso": "8400bp", "lmfdb_iso": "8400.p", "regulator": {"__RealLiteral__": 0, "data": "0.92648169083736596886718417269", "prec": 103}, "ainvs": [0, -1, 0, -6720008, 6707302512], "jinv": [524388516989299201, 3150], "min_quad_twist_ainvs": [1, 1, 1, -16800, -845133], "iso_nlabel": 15, "Cnumber": 5, "lmfdb_number": 1, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 8, "class_size": 6, "min_quad_twist_disc": -20, "faltings_index": 4, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 8400, "nonmax_rad": 2, "num_int_pts": 5, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 147456, "semistable": false, "potential_good_reduction": false, "absD": 201600000000, "faltings_height": {"__RealLiteral__": 0, "data": "2.2346235662511274501790388361", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.73675742947413195346142704803", "prec": 103}, "elladic_images": ["16.24.0.1"], "modell_images": ["2B"], "adelic_level": 1680, "adelic_index": 192, "adelic_genus": 1, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0.e.1", "20.12.0-4.c.1.2", "24.24.0-8.n.1.4", "40.24.0-8.n.1.1", "48.48.0-16.e.1.2", "56.24.0.bh.1", "80.48.0.?", "112.48.0.?", "120.48.0.?", "168.48.0.?", "240.96.0.?", "280.48.0.?", "336.96.0.?", "560.96.0.?", "840.96.0.?", "1680.192.1.?"], "abc_quality": 1.0369284989490737, "szpiro_ratio": 6.504591362196844} {"Clabel": "8400bp4", "lmfdb_label": "8400.p2", "Ciso": "8400bp", "lmfdb_iso": "8400.p", "regulator": {"__RealLiteral__": 0, "data": "1.8529633816747319377343683454", "prec": 100}, "ainvs": [0, -1, 0, -420008, 104902512], "jinv": [128031684631201, 9922500], "min_quad_twist_ainvs": [1, 1, 1, -1050, -13533], "iso_nlabel": 15, "Cnumber": 4, "lmfdb_number": 2, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 8, "class_size": 6, "min_quad_twist_disc": -20, "faltings_index": 2, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 8400, "nonmax_rad": 2, "num_int_pts": 9, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 73728, "semistable": false, "potential_good_reduction": false, "absD": 635040000000000, "faltings_height": {"__RealLiteral__": 0, "data": "1.8880499759711547954704227754", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.39018383919415929875281098733", "prec": 103}, "elladic_images": ["8.24.0.10"], "modell_images": ["2Cs"], "adelic_level": 840, "adelic_index": 192, "adelic_genus": 1, "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.24.0.e.2", "20.24.0-4.b.1.3", "24.48.0-8.e.2.6", "40.48.0-8.e.2.2", "56.48.0.n.1", "120.96.0.?", "168.96.0.?", "280.96.0.?", "840.192.1.?"], "abc_quality": 1.0020619953336782, "szpiro_ratio": 5.584082027942716} {"Clabel": "8400bp6", "lmfdb_label": "8400.p3", "Ciso": "8400bp", "lmfdb_iso": "8400.p", "regulator": {"__RealLiteral__": 0, "data": "3.7059267633494638754687366907", "prec": 100}, "ainvs": [0, -1, 0, -392008, 119462512], "jinv": [-104094944089921, 35880468750], "min_quad_twist_ainvs": [1, 1, 1, -980, -15325], "iso_nlabel": 15, "Cnumber": 6, "lmfdb_number": 3, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 8, "class_size": 6, "min_quad_twist_disc": -20, "faltings_index": 5, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 8400, "nonmax_rad": 2, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 147456, "semistable": false, "potential_good_reduction": false, "absD": 2296350000000000000, "faltings_height": {"__RealLiteral__": 0, "data": "2.2346235662511274501790388361", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.73675742947413195346142704803", "prec": 103}, "elladic_images": ["8.24.0.88"], "modell_images": ["2B"], "adelic_level": 1680, "adelic_index": 192, "adelic_genus": 1, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.24.0.bb.1", "20.12.0-4.c.1.2", "40.48.0-8.bb.1.7", "48.48.0-8.bb.1.6", "56.48.0.bn.1", "240.96.0.?", "280.96.0.?", "336.96.0.?", "1680.192.1.?"], "abc_quality": 1.0081875418390414, "szpiro_ratio": 5.612888016494902} {"Clabel": "8400bp3", "lmfdb_label": "8400.p4", "Ciso": "8400bp", "lmfdb_iso": "8400.p", "regulator": {"__RealLiteral__": 0, "data": "1.8529633816747319377343683454", "prec": 100}, "ainvs": [0, -1, 0, -148008, -20665488], "jinv": [5602762882081, 345888060], "min_quad_twist_ainvs": [1, 1, 1, -370, 2435], "iso_nlabel": 15, "Cnumber": 3, "lmfdb_number": 4, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 8, "class_size": 6, "min_quad_twist_disc": -20, "faltings_index": 3, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 8400, "nonmax_rad": 2, "num_int_pts": 5, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 73728, "semistable": false, "potential_good_reduction": false, "absD": 22136835840000000, "faltings_height": {"__RealLiteral__": 0, "data": "1.8880499759711547954704227754", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.39018383919415929875281098733", "prec": 103}, "elladic_images": ["8.24.0.90"], "modell_images": ["2B"], "adelic_level": 1680, "adelic_index": 192, "adelic_genus": 1, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.24.0.bb.2", "12.12.0-4.c.1.2", "20.12.0-4.c.1.1", "24.48.0-8.bb.2.4", "40.48.0-8.bb.2.3", "60.24.0-60.h.1.2", "112.48.0.?", "120.96.0.?", "336.96.0.?", "560.96.0.?", "1680.192.1.?"], "abc_quality": 0.9866121641692004, "szpiro_ratio": 5.237798005306555} {"Clabel": "8400bp2", "lmfdb_label": "8400.p5", "Ciso": "8400bp", "lmfdb_iso": "8400.p", "regulator": {"__RealLiteral__": 0, "data": "0.92648169083736596886718417269", "prec": 103}, "ainvs": [0, -1, 0, -28008, 1414512], "jinv": [37966934881, 8643600], "min_quad_twist_ainvs": [1, 1, 1, -70, -205], "iso_nlabel": 15, "Cnumber": 2, "lmfdb_number": 5, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 8, "class_size": 6, "min_quad_twist_disc": -20, "faltings_index": 1, "faltings_ratio": 2, "isogeny_degrees": [1, 2, 4], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 8400, "nonmax_rad": 2, "num_int_pts": 13, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 36864, "semistable": false, "potential_good_reduction": false, "absD": 553190400000000, "faltings_height": {"__RealLiteral__": 0, "data": "1.5414763856911821407618067147", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.043610248914186644044194926629", "prec": 107}, "elladic_images": ["8.24.0.18"], "modell_images": ["2Cs"], "adelic_level": 840, "adelic_index": 192, "adelic_genus": 1, "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.24.0.e.1", "12.24.0-4.b.1.2", "20.24.0-4.b.1.1", "24.48.0-8.e.1.16", "40.48.0-8.e.1.1", "56.48.0.r.1", "60.48.0-60.c.1.6", "120.96.0.?", "168.96.0.?", "280.96.0.?", "840.192.1.?"], "abc_quality": 0.9591619974980434, "szpiro_ratio": 4.685085889960381} {"Clabel": "8400bp1", "lmfdb_label": "8400.p6", "Ciso": "8400bp", "lmfdb_iso": "8400.p", "regulator": {"__RealLiteral__": 0, "data": "1.8529633816747319377343683454", "prec": 100}, "ainvs": [0, -1, 0, 3992, 134512], "jinv": [109902239, 188160], "min_quad_twist_ainvs": [1, 1, 1, 10, -13], "iso_nlabel": 15, "Cnumber": 1, "lmfdb_number": 6, "cm": 0, "num_bad_primes": 4, "optimality": 1, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 8, "class_size": 6, "min_quad_twist_disc": -20, "faltings_index": 0, "faltings_ratio": 1, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 8400, "nonmax_rad": 2, "num_int_pts": 5, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 18432, "semistable": false, "potential_good_reduction": false, "absD": 12042240000000, "faltings_height": {"__RealLiteral__": 0, "data": "1.1949027954112094860531906539", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.30296334136578601066442113417", "prec": 107}, "elladic_images": ["16.24.0.13"], "modell_images": ["2B"], "adelic_level": 1680, "adelic_index": 192, "adelic_genus": 1, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1", "12.12.0-4.c.1.1", "16.24.0.e.2", "20.12.0-4.c.1.1", "24.24.0-8.n.1.5", "30.6.0.a.1", "40.24.0-8.n.1.5", "48.48.0-16.e.2.12", "56.24.0.bv.1", "60.24.0-60.g.1.2", "80.48.0.?", "112.48.0.?", "120.48.0.?", "168.48.0.?", "240.96.0.?", "280.48.0.?", "336.96.0.?", "560.96.0.?", "840.96.0.?", "1680.192.1.?"], "abc_quality": 0.9283517895086211, "szpiro_ratio": 4.112627627063432}