{"Ciso": "82110bt", "Clabel": "82110bt8", "Cnumber": 8, "abc_quality": 1.0322249875334464, "absD": 161260899317970551066940, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 1313760, "ainvs": [1, 0, 0, -25879815780, -1602472070375340], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 117440512, "elladic_images": ["16.96.0.149"], "faltings_height": {"__RealLiteral__": 0, "data": "4.3406737994691680591410218738", "prec": 100}, "faltings_index": 6, "faltings_ratio": 16, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4, 8, 16], "jinv": [1916934412547006969354120058646317121, 161260899317970551066940], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs1", "lmfdb_number": 1, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, -25879815780, -1602472070375340], "min_quad_twist_disc": 1, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.12.0-4.c.1.2", "8.48.0-8.bb.2.3", "16.96.0-16.v.2.5", "60.24.0-60.h.1.1", "120.96.0.?", "240.192.1.?", "3808.192.2.?", "5152.192.1.?", "6256.192.2.?", "57120.384.5.?", "77280.384.5.?", "87584.384.5.?", "93840.384.5.?", "1313760.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 0, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "16.278921937452749572173101002", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 15], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 16, "sha_primes": [2], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "4.3406737994691680591410218738", "prec": 100}, "szpiro_ratio": 7.3829229205339, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "82110bt", "Clabel": "82110bt6", "Cnumber": 6, "abc_quality": 1.0165145064337664, "absD": 135739171637240733141123600, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 656880, "ainvs": [1, 0, 0, -1617601080, -25035066997200], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 58720256, "elladic_images": ["8.96.0.60"], "faltings_height": {"__RealLiteral__": 0, "data": "3.9941002091891954044324058131", "prec": 100}, "faltings_index": 4, "faltings_ratio": 8, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4, 8], "jinv": [468099305477291219804418298216321, 135739171637240733141123600], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs2", "lmfdb_number": 2, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, -1617601080, -25035066997200], "min_quad_twist_disc": 1, "modell_images": ["2Cs"], "modm_images": ["2.6.0.a.1", "4.24.0-4.b.1.1", "8.96.0-8.l.1.1", "60.48.0-60.c.1.2", "120.192.1.?", "1904.192.2.?", "2576.192.1.?", "6256.192.2.?", "28560.384.5.?", "38640.384.5.?", "43792.384.5.?", "93840.384.5.?", "656880.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 4, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "8.1394609687263747860865505011", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 4, "sha_primes": [2], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "3.9941002091891954044324058131", "prec": 100}, "szpiro_ratio": 6.647884633271087, "torsion": 4, "torsion_primes": [2], "torsion_structure": [2, 2]} {"Ciso": "82110bt", "Clabel": "82110bt7", "Cnumber": 7, "abc_quality": 1.0711754383162881, "absD": 255321054523588348291733959740, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 1313760, "ainvs": [1, 0, 0, -1409434380, -31714678433460], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 117440512, "elladic_images": ["16.96.0.149"], "faltings_height": {"__RealLiteral__": 0, "data": "4.3406737994691680591410218738", "prec": 100}, "faltings_index": 7, "faltings_ratio": 16, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4, 8, 16], "jinv": [-309640881349964101700603056547521, 255321054523588348291733959740], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs3", "lmfdb_number": 3, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, -1409434380, -31714678433460], "min_quad_twist_disc": 1, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.12.0-4.c.1.2", "8.48.0-8.bb.2.3", "16.96.0-16.v.2.5", "30.6.0.a.1", "60.24.0-60.g.1.1", "120.96.0.?", "240.192.1.?", "1904.192.2.?", "5152.192.1.?", "12512.192.2.?", "28560.384.5.?", "77280.384.5.?", "87584.384.5.?", "187680.384.5.?", "1313760.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 0, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "16.278921937452749572173101002", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 15], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 16, "sha_primes": [2], "signD": -1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "4.3406737994691680591410218738", "prec": 100}, "szpiro_ratio": 6.689640912951567, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "82110bt", "Clabel": "82110bt4", "Cnumber": 4, "abc_quality": 1.006028426914323, "absD": 60743509039087274201760000, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 656880, "ainvs": [1, 0, 0, -114223080, -283150929600], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 29360128, "elladic_images": ["8.96.0.2"], "faltings_height": {"__RealLiteral__": 0, "data": "3.6475266189092227497237897523", "prec": 100}, "faltings_index": 2, "faltings_ratio": 4, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4], "jinv": [164810665209657549410090824321, 60743509039087274201760000], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs4", "lmfdb_number": 4, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, -114223080, -283150929600], "min_quad_twist_disc": 1, "modell_images": ["2Cs"], "modm_images": ["2.6.0.a.1", "4.48.0-4.b.1.1", "8.96.0-8.c.1.1", "120.192.1.?", "1288.192.1.?", "1904.192.2.?", "6256.192.2.?", "19320.384.5.?", "28560.384.5.?", "43792.384.5.?", "93840.384.5.?", "656880.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 14, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "4.0697304843631873930432752506", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "3.6475266189092227497237897523", "prec": 100}, "szpiro_ratio": 5.945183294623821, "torsion": 8, "torsion_primes": [2], "torsion_structure": [2, 4]} {"Ciso": "82110bt", "Clabel": "82110bt2", "Cnumber": 2, "abc_quality": 0.9923666812811367, "absD": 363628103290905600000000, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 656880, "ainvs": [1, 0, 0, -49423080, 130545230400], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 14680064, "elladic_images": ["8.96.0.40"], "faltings_height": {"__RealLiteral__": 0, "data": "3.3009530286292500950151736916", "prec": 100}, "faltings_index": 1, "faltings_ratio": 2, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4, 8], "jinv": [13350979617415439280823624321, 363628103290905600000000], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs5", "lmfdb_number": 5, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, -49423080, 130545230400], "min_quad_twist_disc": 1, "modell_images": ["2Cs"], "modm_images": ["2.6.0.a.1", "4.24.0-4.b.1.3", "8.96.0-8.l.2.2", "240.192.1.?", "644.48.0.?", "1288.192.1.?", "1904.192.2.?", "6256.192.2.?", "28560.384.5.?", "38640.384.5.?", "43792.384.5.?", "93840.384.5.?", "656880.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 36, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "2.0348652421815936965216376253", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "3.3009530286292500950151736916", "prec": 100}, "szpiro_ratio": 5.723086384275005, "torsion": 16, "torsion_primes": [2], "torsion_structure": [2, 8]} {"Ciso": "82110bt", "Clabel": "82110bt1", "Cnumber": 1, "abc_quality": 0.9919472947720096, "absD": 10116926999101440000, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 1313760, "ainvs": [1, 0, 0, -49095400, 132402324032], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 7340032, "elladic_images": ["16.96.0.95"], "faltings_height": {"__RealLiteral__": 0, "data": "2.9543794383492774403065576309", "prec": 100}, "faltings_index": 0, "faltings_ratio": 1, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4, 8, 16], "jinv": [13087181362848921857775657601, 10116926999101440000], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs6", "lmfdb_number": 6, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, -49095400, 132402324032], "min_quad_twist_disc": 1, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.12.0-4.c.1.1", "8.48.0-8.bb.1.1", "16.96.0-16.v.1.2", "322.6.0.?", "480.192.1.?", "644.24.0.?", "1288.96.0.?", "2576.192.1.?", "3808.192.2.?", "12512.192.2.?", "28560.192.2.?", "57120.384.5.?", "77280.384.5.?", "87584.384.5.?", "93840.192.2.?", "187680.384.5.?", "656880.384.5.?", "1313760.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 13, "optimality": 1, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "4.0697304843631873930432752506", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 161], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "2.9543794383492774403065576309", "prec": 100}, "szpiro_ratio": 5.721322787719762, "torsion": 8, "torsion_primes": [2], "torsion_structure": [8]} {"Ciso": "82110bt", "Clabel": "82110bt3", "Cnumber": 3, "abc_quality": 1.0342336228416071, "absD": 78239096930039062500000000, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 1313760, "ainvs": [1, 0, 0, 10134040, 425388708672], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 29360128, "elladic_images": ["16.96.0.95"], "faltings_height": {"__RealLiteral__": 0, "data": "3.6475266189092227497237897523", "prec": 100}, "faltings_index": 3, "faltings_ratio": 4, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4, 8, 16], "jinv": [115099000398621243971890559, 78239096930039062500000000], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs7", "lmfdb_number": 7, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, 10134040, 425388708672], "min_quad_twist_disc": 1, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.12.0-4.c.1.1", "8.48.0-8.bb.1.1", "16.96.0-16.v.1.2", "480.192.1.?", "644.24.0.?", "1288.96.0.?", "1904.192.2.?", "2576.192.1.?", "6256.192.2.?", "43792.384.5.?", "57120.384.5.?", "77280.384.5.?", "187680.384.5.?", "1313760.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 12, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "4.0697304843631873930432752506", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 161], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 1, "sha_primes": [], "signD": -1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "3.6475266189092227497237897523", "prec": 100}, "szpiro_ratio": 5.927604809947329, "torsion": 8, "torsion_primes": [2], "torsion_structure": [8]} {"Ciso": "82110bt", "Clabel": "82110bt5", "Cnumber": 5, "abc_quality": 1.0168811917145575, "absD": 4540848316592979232425603600, "adelic_genus": 13, "adelic_index": 768, "adelic_level": 1313760, "ainvs": [1, 0, 0, 352354920, -2007529902000], "analytic_rank": 1, "bad_primes": [2, 3, 5, 7, 17, 23], "class_deg": 16, "class_size": 8, "cm": 0, "conductor": 82110, "degree": 58720256, "elladic_images": ["16.96.0.25"], "faltings_height": {"__RealLiteral__": 0, "data": "3.9941002091891954044324058131", "prec": 100}, "faltings_index": 5, "faltings_ratio": 8, "iso_nlabel": 44, "isogeny_degrees": [1, 2, 4, 8], "jinv": [4837987390362436347081585367679, 4540848316592979232425603600], "lmfdb_iso": "82110.bs", "lmfdb_label": "82110.bs8", "lmfdb_number": 8, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 0, 352354920, -2007529902000], "min_quad_twist_disc": 1, "modell_images": ["2B"], "modm_images": ["2.3.0.a.1", "4.24.0-4.d.1.1", "8.48.0-8.q.1.2", "16.96.0-16.j.1.2", "120.96.0.?", "240.192.1.?", "1288.96.0.?", "2576.192.1.?", "3808.192.2.?", "12512.192.2.?", "19320.192.1.?", "38640.384.5.?", "57120.384.5.?", "87584.384.5.?", "187680.384.5.?", "1313760.768.13.?"], "nonmax_primes": [2], "nonmax_rad": 2, "num_bad_primes": 6, "num_int_pts": 4, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "8.1394609687263747860865505011", "prec": 100}, "semistable": true, "serre_invariants": [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], "sha": 1, "sha_primes": [], "signD": -1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "3.9941002091891954044324058131", "prec": 100}, "szpiro_ratio": 6.243832285107038, "torsion": 4, "torsion_primes": [2], "torsion_structure": [4]}