data: - - Ciso: 9408cd Clabel: 9408cd4 Cnumber: 4 abc_quality: 1.0015974661127929 absD: 1416433663475712 adelic_genus: 1 adelic_index: 192 adelic_level: 336 ainvs: - 0 - -1 - 0 - -122369 - 16417185 analytic_rank: 1 bad_primes: - 2 - 3 - 7 class_deg: 8 class_size: 6 cm: 0 conductor: 9408 degree: 49152 elladic_images: - 8.48.0.220 faltings_height: __RealLiteral__: 0 data: '1.7403076384785417327281743479' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 60795 iso_nlabel: 12 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 6570725617 - 45927 lmfdb_iso: 9408.m lmfdb_label: 9408.m3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - -39 - 90 min_quad_twist_disc: 56 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.48.0-8.bb.1.2 - 28.12.0.h.1 - 48.96.0-48.bf.1.2 - 56.96.0-56.bl.2.8 - 336.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 3 num_int_pts: 5 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '1.7178992968149188558124724386' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.27236820688903288395035020601' prec: 107 szpiro_ratio: 5.110546180448468 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -2 - 0 - 0 - 0 - 1 - 0 - 4 - 0 - -2 - 0 - 2 - 0 - 6 - 0 - -4 - 0 aplist: - 0 - -1 - -2 - 0 - 4 - -2 - 6 - -4 - 0 - 2 - 0 - -6 - -2 - -4 - 0 - -6 - -12 - -2 - 4 - 0 - 6 - 16 - 12 - 14 - -18 class_deg: 8 class_size: 6 conductor: 9408 id: 35581 isogeny_matrix: - - 1 - 2 - 8 - 4 - 4 - 8 - - 2 - 1 - 4 - 2 - 2 - 4 - - 8 - 4 - 1 - 8 - 2 - 4 - - 4 - 2 - 8 - 1 - 4 - 8 - - 4 - 2 - 2 - 4 - 1 - 2 - - 8 - 4 - 4 - 8 - 2 - 1 lmfdb_iso: 9408.m trace_hash: 1298151834783419293 - - area: __RealLiteral__: 0 data: '0.030788461772754535022719902396' prec: 107 conductor: 9408 gens: - - 187 - 196 - 1 heights: - __RealLiteral__: 0 data: '1.7178992968149188558124724386' prec: 100 id: 60795 lmfdb_label: 9408.m3 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.48226265395982068031940353104' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '3.3139146964706899566918711216866091866' prec: 130 tamagawa_product: 16 torsion_generators: - - 215 - 0 - 1 xcoord_integral_points: - -352 - 187 - 215 - - id: 60795 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 3 - 0 '31': - 3 - 1 - 0 '37': - 1 - 0 '41': - 3 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': - 1 - 0 '7': a iwp0: 0 lmfdb_label: 9408.m3 - - degree: 2 field: - -14 - 0 - 1 id: 490092 lmfdb_label: 9408.m3 torsion: - 8 - degree: 2 field: - -7 - 0 - 1 id: 490091 lmfdb_label: 9408.m3 torsion: - 2 - 2 - degree: 2 field: - -2 - 0 - 1 id: 490093 lmfdb_label: 9408.m3 torsion: - 4 - degree: 4 field: - 9 - 0 - -8 - 0 - 1 id: 490094 lmfdb_label: 9408.m3 torsion: - 2 - 8 - degree: 8 field: - -2352 - 0 - 1288 - 0 - -168 - 0 - 0 - 0 - 1 id: 490098 lmfdb_label: 9408.m3 torsion: - 6 - degree: 8 field: - 1 - 0 - 4 - 0 - -1 - 0 - 4 - 0 - 1 id: 490095 lmfdb_label: 9408.m3 torsion: - 2 - 4 - degree: 8 field: - 4 - 0 - 10 - 0 - 5 - 0 - -2 - 0 - 1 id: 490096 lmfdb_label: 9408.m3 torsion: - 8 - degree: 8 field: - 441 - 0 - -168 - 0 - 67 - 0 - -10 - 0 - 1 id: 490097 lmfdb_label: 9408.m3 torsion: - 16 - degree: 16 field: - 1 - 0 - -28 - 0 - 242 - 0 - -840 - 0 - 1259 - 0 - -840 - 0 - 242 - 0 - -28 - 0 - 1 id: 490101 lmfdb_label: 9408.m3 torsion: - 2 - 16 - degree: 16 field: - 16 - 0 - 0 - 0 - -24 - 0 - 0 - 0 - 73 - 0 - 0 - 0 - 15 - 0 - 0 - 0 - 1 id: 490099 lmfdb_label: 9408.m3 torsion: - 4 - 8 - degree: 16 field: - 81 - 0 - 180 - 0 - 130 - 0 - 384 - 0 - 651 - 0 - 320 - 0 - 114 - 0 - 12 - 0 - 1 id: 490100 lmfdb_label: 9408.m3 torsion: - 2 - 16 - degree: 16 field: - 529 - 0 - -5812 - 0 - 973 - 0 - -6160 - 0 - 5026 - 0 - -1456 - 0 - 196 - 0 - -16 - 0 - 1 id: 490104 lmfdb_label: 9408.m3 torsion: - 12 - degree: 16 field: - 19881 - 0 - 6816 - 0 - -6767 - 0 - 1140 - 0 - -2166 - 0 - -16 - 0 - -48 - 0 - 0 - 0 - 1 id: 490102 lmfdb_label: 9408.m3 torsion: - 2 - 6 - degree: 16 field: - 3073009 - 0 - -10127818 - 0 - 3153397 - 0 - -555312 - 0 - 70926 - 0 - -6582 - 0 - 520 - 0 - -28 - 0 - 1 id: 490103 lmfdb_label: 9408.m3 torsion: - 24 - - conductor: 9408 conductor_valuation: 6 discriminant_valuation: 18 id: 198040 j_denominator_valuation: 0 kodaira_symbol: -12 lmfdb_label: 9408.m3 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 9408 conductor_valuation: 1 discriminant_valuation: 8 id: 198041 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 9408.m3 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 9408 conductor_valuation: 2 discriminant_valuation: 7 id: 198042 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 9408.m3 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 5 - 4 - 332 - 333 - - 1 - 16 - 0 - 1 - - 15 - 2 - 238 - 323 - - 335 - 320 - 244 - 123 - - 118 - 73 - 293 - 282 - - 321 - 16 - 320 - 17 - - 1 - 0 - 16 - 1 - - 113 - 16 - 232 - 129 - - 88 - 335 - 113 - 326 adelic_image: 336.192.1.? conductor: 9408 id: 1726265 lmfdb_label: 9408.m3 prime: 0 - conductor: 9408 elladic_image: 8.48.0.220 id: 45721 lmfdb_label: 9408.m3 modell_image: 2B prime: 2 - - id: 394580 lmfdb_iso: 9408.m p: 5 prec: 20 unit: 17143344979599 val: 1 - id: 394586 lmfdb_iso: 9408.m p: 11 prec: 20 unit: 13708324182751673793 val: 1 - id: 394584 lmfdb_iso: 9408.m p: 13 prec: 20 unit: 1326217199314572996036 val: 1 - id: 394587 lmfdb_iso: 9408.m p: 17 prec: 20 unit: 13920675402641437783733 val: 1 - id: 394588 lmfdb_iso: 9408.m p: 19 prec: 20 unit: 751436606497046039368422 val: 1 - id: 394583 lmfdb_iso: 9408.m p: 29 prec: 20 unit: 1966021324288636773467569449 val: 1 - id: 394594 lmfdb_iso: 9408.m p: 37 prec: 20 unit: 484727390636375636094644111236 val: 1 - id: 394581 lmfdb_iso: 9408.m p: 41 prec: 20 unit: 12193492290250488130308080169 val: 2 - id: 394582 lmfdb_iso: 9408.m p: 43 prec: 20 unit: 9644511421267068375655609682498 val: 1 - id: 394589 lmfdb_iso: 9408.m p: 53 prec: 20 unit: 245569830191478348340344143148322 val: 1 - id: 394592 lmfdb_iso: 9408.m p: 59 prec: 20 unit: 3349210376896645758309494340606051 val: 1 - id: 394593 lmfdb_iso: 9408.m p: 61 prec: 20 unit: 4131695783836036247748937203371219 val: 1 - id: 394579 lmfdb_iso: 9408.m p: 67 prec: 20 unit: 41417902693081330758740381735843564 val: 1 - id: 394590 lmfdb_iso: 9408.m p: 73 prec: 20 unit: 164500874372426971523097603704609832 val: 1 - id: 394585 lmfdb_iso: 9408.m p: 79 prec: 20 unit: 137672294181417100625613336157886094 val: 1 - id: 394578 lmfdb_iso: 9408.m p: 83 prec: 20 unit: 261413784405790775811811351421922169 val: 1 - id: 394591 lmfdb_iso: 9408.m p: 89 prec: 20 unit: 1360408023984014256203639218192085884 val: 1 - id: 394577 lmfdb_iso: 9408.m p: 97 prec: 20 unit: 44552286487271835999712174232816217273 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 9408.m3 - 9408.m - 9408.m3 - 9408.m3 - 9408.m3 - 9408.m3 - 9408.m3 - 9408.m tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-15T23:47:00.560061'