data: - - anlist: - 0 - 1 - 0 - -1 - 0 - 2 - 0 - 0 - 0 - 1 - 0 - 0 - 0 - -2 - 0 - -2 - 0 - 1 - 0 - 8 - 0 aplist: - 0 - -1 - 2 - 0 - 0 - -2 - 1 - 8 - 0 - -2 - 0 - -2 - -6 - 4 - -8 - 6 - -4 - 6 - 12 - 0 - -6 - 8 - 12 - 10 - 2 class_deg: 4 class_size: 4 conductor: 159936 id: 701989 isogeny_matrix: - - 1 - 2 - 4 - 4 - - 2 - 1 - 2 - 2 - - 4 - 2 - 1 - 4 - - 4 - 2 - 4 - 1 lmfdb_iso: 159936.dz trace_hash: 653704910488057251 - [] - - Ciso: 159936jz Clabel: 159936jz4 Cnumber: 4 abc_quality: 0.9099907343626505 absD: 37159525122048 adelic_genus: 0 adelic_index: 48 adelic_level: 2856 ainvs: - 0 - -1 - 0 - -249377 - -47848863 analytic_rank: 1 bad_primes: - 2 - 3 - 7 - 17 class_deg: 4 class_size: 4 cm: 0 conductor: 159936 degree: 688128 elladic_images: - 4.12.0.8 faltings_height: __RealLiteral__: 0 data: '1.7202435938250449681037475589' prec: 100 faltings_index: 2 faltings_ratio: 4 id: 1035568 iso_nlabel: 103 isogeny_degrees: - 1 - 2 - 4 jinv: - 444893916104 - 9639 lmfdb_iso: 159936.dz lmfdb_label: 159936.dz1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -1272 - 17892 min_quad_twist_disc: -56 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.2 - 168.24.0.? - 408.24.0.? - 952.24.0.? - 2856.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 7 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '2.1769323364445516672296241776' prec: 100 semistable: false sha: 4 sha_primes: - 2 signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.11914545640254332122046896465' prec: 107 szpiro_ratio: 4.080421607552674 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - Ciso: 159936jz Clabel: 159936jz2 Cnumber: 2 abc_quality: 0.8466607269254457 absD: 61416437354496 adelic_genus: 0 adelic_index: 48 adelic_level: 2856 ainvs: - 0 - -1 - 0 - -16137 - -687735 analytic_rank: 1 bad_primes: - 2 - 3 - 7 - 17 class_deg: 4 class_size: 4 cm: 0 conductor: 159936 degree: 344064 elladic_images: - 4.12.0.1 faltings_height: __RealLiteral__: 0 data: '1.3736700035450723133951314982' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 1035566 iso_nlabel: 103 isogeny_degrees: - 1 - 2 jinv: - 964430272 - 127449 lmfdb_iso: 159936.dz lmfdb_label: 159936.dz2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -82 - 280 min_quad_twist_disc: -56 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 4.12.0-2.a.1.1 - 168.24.0.? - 204.24.0.? - 952.24.0.? - 2856.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 7 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '4.3538646728891033344592483551' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.29243225154252964857477699498' prec: 107 szpiro_ratio: 3.3949657126725556 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - Ciso: 159936jz Clabel: 159936jz1 Cnumber: 1 abc_quality: 0.8470756096734756 absD: 921999212736 adelic_genus: 0 adelic_index: 48 adelic_level: 2856 ainvs: - 0 - -1 - 0 - -4132 - 92590 analytic_rank: 1 bad_primes: - 2 - 3 - 7 - 17 class_deg: 4 class_size: 4 cm: 0 conductor: 159936 degree: 172032 elladic_images: - 8.12.0.6 faltings_height: __RealLiteral__: 0 data: '1.0270964132650996586865154375' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 1035565 iso_nlabel: 103 isogeny_degrees: - 1 - 2 - 4 jinv: - 1036433728 - 122451 lmfdb_iso: 159936.dz lmfdb_label: 159936.dz3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -337 - -2015 min_quad_twist_disc: -56 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.5 - 168.24.0.? - 204.12.0.? - 408.24.0.? - 952.24.0.? - 2856.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 1 optimality: 1 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '8.7077293457782066689184967102' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.29243225154252964857477699495' prec: 107 szpiro_ratio: 3.053895841510993 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - Ciso: 159936jz Clabel: 159936jz3 Cnumber: 3 abc_quality: 0.8851743422828932 absD: 6761657293504512 adelic_genus: 0 adelic_index: 48 adelic_level: 2856 ainvs: - 0 - -1 - 0 - 25023 - -3659487 analytic_rank: 1 bad_primes: - 2 - 3 - 7 - 17 class_deg: 4 class_size: 4 cm: 0 conductor: 159936 degree: 688128 elladic_images: - 4.12.0.7 faltings_height: __RealLiteral__: 0 data: '1.7202435938250449681037475589' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 1035567 iso_nlabel: 103 isogeny_degrees: - 1 - 2 - 4 jinv: - 449455096 - 1753941 lmfdb_iso: 159936.dz lmfdb_label: 159936.dz4 lmfdb_number: 4 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - 128 - 1288 min_quad_twist_disc: -56 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.1 - 168.24.0.? - 408.24.0.? - 952.24.0.? - 2856.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '8.7077293457782066689184967102' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-0.11914545640254332122046896465' prec: 107 szpiro_ratio: 3.6506691387209402 torsion: 4 torsion_primes: - 2 torsion_structure: - 4 label_cols: - lmfdb_iso - lmfdb_iso - lmfdb_iso labels: - 159936.dz - 159936.dz - 159936.dz tables: - ec_classdata - ec_padic - ec_curvedata timestamp: '2024-05-12T03:59:48.767194'