{"Ciso": "4200d", "Clabel": "4200d4", "Cnumber": 4, "abc_quality": 0.9870093428162598, "absD": 5040000000, "adelic_genus": 1, "adelic_index": 192, "adelic_level": 1680, "ainvs": [0, -1, 0, -168008, 26562012], "analytic_rank": 0, "bad_primes": [2, 3, 5, 7], "class_deg": 8, "class_size": 6, "cm": 0, "conductor": 4200, "degree": 12288, "elladic_images": ["16.24.0.8"], "faltings_height": {"__RealLiteral__": 0, "data": "1.4400549806415295933579815665", "prec": 100}, "faltings_index": 2, "faltings_ratio": 4, "intrinsic_torsion": 2, "iso_nlabel": 13, "isogeny_degrees": [1, 2, 4, 8], "jinv": [32779037733124, 315], "lmfdb_iso": "4200.n", "lmfdb_label": "4200.n1", "lmfdb_number": 1, "manin_constant": 1, "min_quad_twist_ainvs": [0, 1, 0, -6720, 209808], "min_quad_twist_disc": 5, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0-8.n.1.2", "20.12.0-4.c.1.2", "24.24.0-8.n.1.7", "28.12.0-4.c.1.1", "40.24.0-8.n.1.1", "48.48.0-48.h.1.32", "56.24.0-8.n.1.9", "80.48.0.?", "112.48.0.?", "120.48.0.?", "140.24.0.?", "168.48.0.?", "240.96.0.?", "280.48.0.?", "336.96.0.?", "560.96.0.?", "840.96.0.?", "1680.192.1.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 4, "num_int_pts": 1, "optimality": 0, "potential_good_reduction": false, "rank": 0, "regulator": 1, "semistable": false, "serre_invariants": [[2, 2, 175], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.057713373957858314876575132005", "prec": 107}, "szpiro_ratio": 5.7185455711718856, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "4200d", "Clabel": "4200d5", "Cnumber": 5, "abc_quality": 0.9864758879980504, "absD": 1837500000000000, "adelic_genus": 1, "adelic_index": 192, "adelic_level": 1680, "ainvs": [0, -1, 0, -162008, -24959988], "analytic_rank": 0, "bad_primes": [2, 3, 5, 7], "class_deg": 8, "class_size": 6, "cm": 0, "conductor": 4200, "degree": 24576, "elladic_images": ["16.24.0.9"], "faltings_height": {"__RealLiteral__": 0, "data": "1.7866285709215022480665976273", "prec": 100}, "faltings_index": 4, "faltings_ratio": 8, "intrinsic_torsion": 2, "iso_nlabel": 13, "isogeny_degrees": [1, 2, 4, 8], "jinv": [14695548366242, 57421875], "lmfdb_iso": "4200.n", "lmfdb_label": "4200.n2", "lmfdb_number": 2, "manin_constant": 1, "min_quad_twist_ainvs": [0, 1, 0, -6480, -202272], "min_quad_twist_disc": 5, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0-8.n.1.4", "20.12.0-4.c.1.1", "24.24.0.bj.1", "40.24.0-8.n.1.5", "48.48.0-24.bj.1.1", "56.24.0.bu.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.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 4, "num_int_pts": 1, "optimality": 0, "potential_good_reduction": false, "rank": 0, "regulator": 1, "semistable": false, "serre_invariants": [[2, 4, 75], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], "sha": 4, "sha_primes": [2], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.34652469919116886046708851602", "prec": 103}, "szpiro_ratio": 5.705468798287987, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "4200d", "Clabel": "4200d3", "Cnumber": 3, "abc_quality": 1.084056154350823, "absD": 216090000000000, "adelic_genus": 1, "adelic_index": 192, "adelic_level": 840, "ainvs": [0, -1, 0, -15008, 30012], "analytic_rank": 0, "bad_primes": [2, 3, 5, 7], "class_deg": 8, "class_size": 6, "cm": 0, "conductor": 4200, "degree": 12288, "elladic_images": ["8.24.0.11"], "faltings_height": {"__RealLiteral__": 0, "data": "1.4400549806415295933579815665", "prec": 100}, "faltings_index": 3, "faltings_ratio": 4, "intrinsic_torsion": 1, "iso_nlabel": 13, "isogeny_degrees": [1, 2, 4], "jinv": [23366901604, 13505625], "lmfdb_iso": "4200.n", "lmfdb_label": "4200.n3", "lmfdb_number": 3, "manin_constant": 1, "min_quad_twist_ainvs": [0, 1, 0, -600, 0], "min_quad_twist_disc": 5, "modell_images": ["2Cs"], "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.24.0-4.b.1.8", "20.24.0-4.b.1.1", "24.48.0-24.e.1.18", "40.48.0-40.h.1.14", "56.48.0-56.h.1.4", "120.96.0.?", "168.96.0.?", "280.96.0.?", "840.192.1.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 4, "num_int_pts": 3, "optimality": 0, "potential_good_reduction": false, "rank": 0, "regulator": 1, "semistable": false, "serre_invariants": [[2, 2, 25], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.057713373957858314876575132005", "prec": 107}, "szpiro_ratio": 4.849989527083485, "torsion": 4, "torsion_primes": [2], "torsion_structure": [2, 2]} {"Ciso": "4200d", "Clabel": "4200d2", "Cnumber": 2, "abc_quality": 0.9234875310750043, "absD": 396900000000, "adelic_genus": 1, "adelic_index": 192, "adelic_level": 840, "ainvs": [0, -1, 0, -10508, 417012], "analytic_rank": 0, "bad_primes": [2, 3, 5, 7], "class_deg": 8, "class_size": 6, "cm": 0, "conductor": 4200, "degree": 6144, "elladic_images": ["8.24.0.14"], "faltings_height": {"__RealLiteral__": 0, "data": "1.0934813903615569386493655058", "prec": 100}, "faltings_index": 1, "faltings_ratio": 2, "intrinsic_torsion": 1, "iso_nlabel": 13, "isogeny_degrees": [1, 2, 4], "jinv": [32082281296, 99225], "lmfdb_iso": "4200.n", "lmfdb_label": "4200.n4", "lmfdb_number": 4, "manin_constant": 1, "min_quad_twist_ainvs": [0, 1, 0, -420, 3168], "min_quad_twist_disc": 5, "modell_images": ["2Cs"], "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.24.0-4.b.1.10", "20.24.0-4.b.1.3", "24.48.0-24.l.1.19", "28.24.0-4.b.1.2", "40.48.0-40.h.2.4", "56.48.0-56.h.2.31", "120.96.0.?", "140.48.0.?", "168.96.0.?", "280.96.0.?", "840.192.1.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 4, "num_int_pts": 3, "optimality": 0, "potential_good_reduction": false, "rank": 0, "regulator": 1, "semistable": false, "serre_invariants": [[2, 2, 25], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.17333568622879012159583557512", "prec": 107}, "szpiro_ratio": 4.721818418357937, "torsion": 4, "torsion_primes": [2], "torsion_structure": [2, 2]} {"Ciso": "4200d", "Clabel": "4200d1", "Cnumber": 1, "abc_quality": 0.9612989106730464, "absD": 57408750000, "adelic_genus": 1, "adelic_index": 192, "adelic_level": 1680, "ainvs": [0, -1, 0, -383, 12012], "analytic_rank": 0, "bad_primes": [2, 3, 5, 7], "class_deg": 8, "class_size": 6, "cm": 0, "conductor": 4200, "degree": 3072, "elladic_images": ["8.24.0.93"], "faltings_height": {"__RealLiteral__": 0, "data": "0.74690780008158428394074944507", "prec": 103}, "faltings_index": 0, "faltings_ratio": 1, "intrinsic_torsion": 2, "iso_nlabel": 13, "isogeny_degrees": [1, 2, 4, 8], "jinv": [-24918016, 229635], "lmfdb_iso": "4200.n", "lmfdb_label": "4200.n5", "lmfdb_number": 5, "manin_constant": 1, "min_quad_twist_ainvs": [0, 1, 0, -15, 90], "min_quad_twist_disc": 5, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.24.0-8.n.1.5", "20.12.0-4.c.1.2", "28.12.0-4.c.1.2", "40.48.0-40.ca.1.12", "48.48.0-48.h.1.4", "56.48.0-56.bu.2.9", "70.6.0.a.1", "140.24.0.?", "240.96.0.?", "280.96.0.?", "336.96.0.?", "1680.192.1.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 4, "num_int_pts": 1, "optimality": 1, "potential_good_reduction": false, "rank": 0, "regulator": 1, "semistable": false, "serre_invariants": [[2, 2, 175], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], "sha": 1, "sha_primes": [], "signD": -1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.28886021632211433983204092870", "prec": 107}, "szpiro_ratio": 3.8702751580360695, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "4200d", "Clabel": "4200d6", "Cnumber": 6, "abc_quality": 1.1006655403587287, "absD": 13835522400000000, "adelic_genus": 1, "adelic_index": 192, "adelic_level": 1680, "ainvs": [0, -1, 0, 59992, 180012], "analytic_rank": 0, "bad_primes": [2, 3, 5, 7], "class_deg": 8, "class_size": 6, "cm": 0, "conductor": 4200, "degree": 24576, "elladic_images": ["8.24.0.94"], "faltings_height": {"__RealLiteral__": 0, "data": "1.7866285709215022480665976273", "prec": 100}, "faltings_index": 5, "faltings_ratio": 8, "intrinsic_torsion": 2, "iso_nlabel": 13, "isogeny_degrees": [1, 2, 4, 8], "jinv": [746185003198, 432360075], "lmfdb_iso": "4200.n", "lmfdb_label": "4200.n6", "lmfdb_number": 6, "manin_constant": 1, "min_quad_twist_ainvs": [0, 1, 0, 2400, 2400], "min_quad_twist_disc": 5, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.24.0-8.n.1.3", "20.12.0-4.c.1.1", "24.48.0-24.bn.1.9", "40.48.0-40.ca.2.8", "112.48.0.?", "120.96.0.?", "336.96.0.?", "560.96.0.?", "1680.192.1.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 4, "num_int_pts": 1, "optimality": 0, "potential_good_reduction": false, "rank": 0, "regulator": 1, "semistable": false, "serre_invariants": [[2, 4, 75], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], "sha": 1, "sha_primes": [], "signD": -1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.34652469919116886046708851602", "prec": 103}, "szpiro_ratio": 5.348237159952068, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]}