Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.71.abg_pi |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 16 x + 71 x^{2} )^{2}$ |
$2$ |
$0$ |
$40$ |
$3136$ |
1.71.aq 2 |
2.71.abf_or |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 31 x + 381 x^{2} - 2201 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$41$ |
$3191$ |
simple |
2.71.abf_os |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 16 x + 71 x^{2} )( 1 - 15 x + 71 x^{2} )$ |
$2$ |
$0$ |
$41$ |
$3192$ |
1.71.aq $\times$ 1.71.ap |
2.71.abe_oa |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 30 x + 364 x^{2} - 2130 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$42$ |
$3246$ |
simple |
2.71.abe_ob |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 30 x + 365 x^{2} - 2130 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$42$ |
$3247$ |
simple |
2.71.abe_oc |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 16 x + 71 x^{2} )( 1 - 14 x + 71 x^{2} )$ |
$2$ |
$0$ |
$42$ |
$3248$ |
1.71.aq $\times$ 1.71.ao |
2.71.abe_od |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 15 x + 71 x^{2} )^{2}$ |
$2$ |
$0$ |
$42$ |
$3249$ |
1.71.ap 2 |
2.71.abd_nj |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 29 x + 347 x^{2} - 2059 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$43$ |
$3301$ |
simple |
2.71.abd_nk |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 29 x + 348 x^{2} - 2059 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$43$ |
$3302$ |
simple |
2.71.abd_nl |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 29 x + 349 x^{2} - 2059 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$43$ |
$3303$ |
simple |
2.71.abd_nm |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 16 x + 71 x^{2} )( 1 - 13 x + 71 x^{2} )$ |
$2$ |
$0$ |
$43$ |
$3304$ |
1.71.aq $\times$ 1.71.an |
2.71.abd_nn |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 29 x + 351 x^{2} - 2059 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$43$ |
$3305$ |
simple |
2.71.abd_no |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 15 x + 71 x^{2} )( 1 - 14 x + 71 x^{2} )$ |
$2$ |
$0$ |
$43$ |
$3306$ |
1.71.ap $\times$ 1.71.ao |
2.71.abc_ms |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 28 x + 330 x^{2} - 1988 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3356$ |
simple |
2.71.abc_mt |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 28 x + 331 x^{2} - 1988 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3357$ |
simple |
2.71.abc_mu |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 28 x + 332 x^{2} - 1988 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3358$ |
simple |
2.71.abc_mv |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 28 x + 333 x^{2} - 1988 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3359$ |
simple |
2.71.abc_mw |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 16 x + 71 x^{2} )( 1 - 12 x + 71 x^{2} )$ |
$2$ |
$0$ |
$44$ |
$3360$ |
1.71.aq $\times$ 1.71.am |
2.71.abc_mx |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 28 x + 335 x^{2} - 1988 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3361$ |
simple |
2.71.abc_my |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 28 x + 336 x^{2} - 1988 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3362$ |
simple |
2.71.abc_mz |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 15 x + 71 x^{2} )( 1 - 13 x + 71 x^{2} )$ |
$2$ |
$0$ |
$44$ |
$3363$ |
1.71.ap $\times$ 1.71.an |
2.71.abc_na |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 14 x + 71 x^{2} )^{2}$ |
$2$ |
$0$ |
$44$ |
$3364$ |
1.71.ao 2 |
2.71.abb_mc |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 314 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3412$ |
simple |
2.71.abb_md |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 315 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3413$ |
simple |
2.71.abb_me |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 316 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3414$ |
simple |
2.71.abb_mf |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 317 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3415$ |
simple |
2.71.abb_mg |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 16 x + 71 x^{2} )( 1 - 11 x + 71 x^{2} )$ |
$2$ |
$0$ |
$45$ |
$3416$ |
1.71.aq $\times$ 1.71.al |
2.71.abb_mh |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 319 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3417$ |
simple |
2.71.abb_mi |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 320 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3418$ |
simple |
2.71.abb_mj |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 321 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3419$ |
simple |
2.71.abb_mk |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 15 x + 71 x^{2} )( 1 - 12 x + 71 x^{2} )$ |
$2$ |
$0$ |
$45$ |
$3420$ |
1.71.ap $\times$ 1.71.am |
2.71.abb_ml |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 27 x + 323 x^{2} - 1917 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3421$ |
simple |
2.71.abb_mm |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 14 x + 71 x^{2} )( 1 - 13 x + 71 x^{2} )$ |
$2$ |
$0$ |
$45$ |
$3422$ |
1.71.ao $\times$ 1.71.an |
2.71.aba_ll |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 297 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3467$ |
simple |
2.71.aba_lm |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 298 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3468$ |
simple |
2.71.aba_ln |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 299 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3469$ |
simple |
2.71.aba_lo |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 300 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3470$ |
simple |
2.71.aba_lp |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 301 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3471$ |
simple |
2.71.aba_lq |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 16 x + 71 x^{2} )( 1 - 10 x + 71 x^{2} )$ |
$2$ |
$0$ |
$46$ |
$3472$ |
1.71.aq $\times$ 1.71.ak |
2.71.aba_lr |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 303 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3473$ |
simple |
2.71.aba_ls |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 304 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3474$ |
simple |
2.71.aba_lt |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 305 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3475$ |
simple |
2.71.aba_lu |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 306 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3476$ |
simple |
2.71.aba_lv |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 15 x + 71 x^{2} )( 1 - 11 x + 71 x^{2} )$ |
$2$ |
$0$ |
$46$ |
$3477$ |
1.71.ap $\times$ 1.71.al |
2.71.aba_lw |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 308 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3478$ |
simple |
2.71.aba_lx |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 26 x + 309 x^{2} - 1846 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3479$ |
simple |
2.71.aba_ly |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 14 x + 71 x^{2} )( 1 - 12 x + 71 x^{2} )$ |
$2$ |
$0$ |
$46$ |
$3480$ |
1.71.ao $\times$ 1.71.am |
2.71.aba_lz |
$2$ |
$\F_{71}$ |
$71$ |
$( 1 - 13 x + 71 x^{2} )^{2}$ |
$2$ |
$0$ |
$46$ |
$3481$ |
1.71.an 2 |
2.71.az_ku |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 25 x + 280 x^{2} - 1775 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3522$ |
simple |
2.71.az_kv |
$2$ |
$\F_{71}$ |
$71$ |
$1 - 25 x + 281 x^{2} - 1775 x^{3} + 5041 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3523$ |
simple |