data: - - Ciso: 257400ej Clabel: 257400ej3 Cnumber: 3 abc_quality: 0.9937812748699064 absD: 1907869586441855493600000000 adelic_genus: 0 adelic_index: 48 adelic_level: 17160 ainvs: - 0 - 0 - 0 - -393042675 - -2139843199250 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 11 - 13 class_deg: 4 class_size: 4 cm: 0 conductor: 257400 degree: 132120576 elladic_images: - 4.6.0.1 faltings_height: __RealLiteral__: 0 data: '3.9413712344629012654678618471' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 1633767 iso_nlabel: 113 isogeny_degrees: - 1 - 2 - 4 jinv: - 287849398425814280018 - 81784533026485575 lmfdb_iso: 257400.ej lmfdb_label: 257400.ej2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -1746856 - 634609900 min_quad_twist_disc: -15 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 40.12.0-4.c.1.5 - 264.12.0.? - 312.12.0.? - 780.12.0.? - 1144.12.0.? - 1320.24.0.? - 1560.24.0.? - 3432.24.0.? - 5720.24.0.? - 17160.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '70.170045120995099697463299109' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.9519612183985130321707301174' prec: 100 szpiro_ratio: 5.697518604472547 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 0 - 0 - 0 - 0 - 4 - 0 - 0 - 0 - 1 - 0 - -1 - 0 - 0 - 0 - -2 - 0 - 4 - 0 aplist: - 0 - 0 - 0 - 4 - 1 - -1 - -2 - 4 - -4 - -6 - 0 - -10 - 10 - -4 - 0 - 10 - 12 - -2 - -8 - 8 - 2 - -16 - -12 - 10 - 14 class_deg: 4 class_size: 4 conductor: 257400 id: 1127833 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 257400.ej trace_hash: 873501185236844889 - - area: __RealLiteral__: 0 data: '0.00037719718544940330946422813728' prec: 113 conductor: 257400 gens: - - 11168402483107424434645141499670 - 27710697273365746957950533887213822479455031950 - 18678489462983 heights: - __RealLiteral__: 0 data: '70.170045120995099697463299109' prec: 100 id: 1633767 lmfdb_label: 257400.ej2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.034639062907678743995492908685' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '9.7224984287232207265940391327280160743' prec: 130 tamagawa_product: 16 torsion_generators: - - 22130 - 0 - 1 xcoord_integral_points: - 22130 - [] - - degree: 2 field: - -330 - 0 - 1 id: 11047148 lmfdb_label: 257400.ej2 torsion: - 4 - degree: 2 field: - -286 - 0 - 1 id: 11047147 lmfdb_label: 257400.ej2 torsion: - 2 - 2 - degree: 2 field: - -195 - 0 - 1 id: 11047149 lmfdb_label: 257400.ej2 torsion: - 4 - degree: 4 field: - 121 - 0 - -308 - 0 - 1 id: 11047150 lmfdb_label: 257400.ej2 torsion: - 2 - 4 - degree: 8 field: - -297675 - 0 - 1080 - 0 - 1890 - 0 - 0 - 0 - 1 id: 11047154 lmfdb_label: 257400.ej2 torsion: - 6 - degree: 8 field: - 221976 - -28056 - -19124 - 3016 - 1058 - -182 - -1 - -2 - 1 id: 11047153 lmfdb_label: 257400.ej2 torsion: - 8 - degree: 8 field: - 4673791 - 1456228 - -1381114 - -149696 - 73519 - 1592 - -526 - -4 - 1 id: 11047152 lmfdb_label: 257400.ej2 torsion: - 8 - degree: 8 field: - 64338745 - -6483460 - 6477274 - 12176 - -5597 - -592 - 202 - -4 - 1 id: 11047151 lmfdb_label: 257400.ej2 torsion: - 2 - 4 - degree: 16 field: - 6197929 - -80896632 - 263856272 - -209995192 - -245945440 - 315942648 - 59191112 - -119723088 - 4087057 - 16054776 - -2045492 - -624392 - 94662 - 4312 - -596 - -8 - 1 id: 11047157 lmfdb_label: 257400.ej2 torsion: - 2 - 8 - degree: 16 field: - 505009367424 - -603523768320 - 184482659904 - -23416254912 - 15400946896 - 22313792 - -216216064 - 75807552 - -13028720 - -1965584 - 232660 - 15388 - 1297 - 168 - -82 - -4 - 1 id: 11047156 lmfdb_label: 257400.ej2 torsion: - 2 - 8 - degree: 16 field: - 587999209203025 - 0 - 50197360962140 - 0 - 2084357840086 - 0 - 31338086432 - 0 - 6684199 - 0 - -5446744 - 0 - 76354 - 0 - -388 - 0 - 1 id: 11047155 lmfdb_label: 257400.ej2 torsion: - 4 - 4 - degree: 16 field: - 1682677482284304 - 0 - -206898011567808 - 0 - 10061466342400 - 0 - -248578549296 - 0 - 3505229640 - 0 - -31732184 - 0 - 188628 - 0 - -660 - 0 - 1 id: 11047159 lmfdb_label: 257400.ej2 torsion: - 12 - degree: 16 field: - 8639045394643780 - -2639712453708440 - 178445491472520 - 28829947150040 - -3839367762220 - 2057463000 - -2324840264 - 2072203552 - 189388620 - -25029740 - -912872 - -177912 - 33188 - 2660 - -360 - -8 - 1 id: 11047160 lmfdb_label: 257400.ej2 torsion: - 12 - degree: 16 field: - 12630996010391616 - 0 - -4824609172935552 - 0 - 91379177480448 - 0 - -460271326944 - 0 - -6811970880 - 0 - -29676504 - 0 - 153868 - 0 - -572 - 0 - 1 id: 11047158 lmfdb_label: 257400.ej2 torsion: - 2 - 6 - - conductor: 257400 conductor_valuation: 3 discriminant_valuation: 11 id: 6381548 j_denominator_valuation: 0 kodaira_symbol: -2 lmfdb_label: 257400.ej2 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 1 - conductor: 257400 conductor_valuation: 2 discriminant_valuation: 34 id: 6381549 j_denominator_valuation: 28 kodaira_symbol: -32 lmfdb_label: 257400.ej2 prime: 3 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 257400 conductor_valuation: 2 discriminant_valuation: 8 id: 6381550 j_denominator_valuation: 2 kodaira_symbol: -6 lmfdb_label: 257400.ej2 prime: 5 reduction_type: 0 root_number: 1 tamagawa_number: 4 - conductor: 257400 conductor_valuation: 1 discriminant_valuation: 1 id: 6381551 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 257400.ej2 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 257400 conductor_valuation: 1 discriminant_valuation: 1 id: 6381552 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 257400.ej2 prime: 13 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 7496 - 3435 - 4685 - 6866 - - 1 - 0 - 8 - 1 - - 13996 - 6865 - 12695 - 6 - - 1 - 8 - 0 - 1 - - 7296 - 5585 - 14185 - 3936 - - 5719 - 13720 - 12580 - 3399 - - 1 - 4 - 4 - 17 - - 15016 - 9875 - 3865 - 7326 - - 6863 - 0 - 0 - 17159 - - 7 - 6 - 17154 - 17155 - - 17153 - 8 - 17152 - 9 adelic_image: 17160.48.0.? conductor: 257400 id: 3295810 lmfdb_label: 257400.ej2 prime: 0 - conductor: 257400 elladic_image: 4.6.0.1 id: 925349 lmfdb_label: 257400.ej2 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 257400.ej2 - 257400.ej - 257400.ej2 - 257400.ej2 - 257400.ej2 - 257400.ej2 - 257400.ej2 - 257400.ej tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T17:55:33.450891'