Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.81.abk_ss |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{4}$ |
$0$ |
$2$ |
$46$ |
$4096$ |
1.81.as 2 |
2.81.abj_sa |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 17 x + 81 x^{2} )$ |
$1$ |
$1$ |
$47$ |
$4160$ |
1.81.as $\times$ 1.81.ar |
2.81.abi_ri |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 16 x + 81 x^{2} )$ |
$1$ |
$1$ |
$48$ |
$4224$ |
1.81.as $\times$ 1.81.aq |
2.81.abi_rj |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 17 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$48$ |
$4225$ |
1.81.ar 2 |
2.81.abh_qr |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 33 x + 433 x^{2} - 2673 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$49$ |
$4289$ |
simple |
2.81.abh_qs |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 17 x + 81 x^{2} )( 1 - 16 x + 81 x^{2} )$ |
$2$ |
$0$ |
$49$ |
$4290$ |
1.81.ar $\times$ 1.81.aq |
2.81.abg_py |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 14 x + 81 x^{2} )$ |
$1$ |
$1$ |
$50$ |
$4352$ |
1.81.as $\times$ 1.81.ao |
2.81.abg_pz |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 32 x + 415 x^{2} - 2592 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$50$ |
$4353$ |
simple |
2.81.abg_qa |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 32 x + 416 x^{2} - 2592 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$50$ |
$4354$ |
simple |
2.81.abg_qc |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 16 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$50$ |
$4356$ |
1.81.aq 2 |
2.81.abf_pg |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 13 x + 81 x^{2} )$ |
$1$ |
$1$ |
$51$ |
$4416$ |
1.81.as $\times$ 1.81.an |
2.81.abf_ph |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 31 x + 397 x^{2} - 2511 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$51$ |
$4417$ |
simple |
2.81.abf_pi |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 31 x + 398 x^{2} - 2511 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$51$ |
$4418$ |
simple |
2.81.abf_pk |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 17 x + 81 x^{2} )( 1 - 14 x + 81 x^{2} )$ |
$2$ |
$0$ |
$51$ |
$4420$ |
1.81.ar $\times$ 1.81.ao |
2.81.abf_pl |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 31 x + 401 x^{2} - 2511 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$51$ |
$4421$ |
simple |
2.81.abe_op |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 30 x + 379 x^{2} - 2430 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$52$ |
$4481$ |
simple |
2.81.abe_oq |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 30 x + 380 x^{2} - 2430 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$52$ |
$4482$ |
simple |
2.81.abe_os |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 30 x + 382 x^{2} - 2430 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$52$ |
$4484$ |
simple |
2.81.abe_ot |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 17 x + 81 x^{2} )( 1 - 13 x + 81 x^{2} )$ |
$2$ |
$0$ |
$52$ |
$4485$ |
1.81.ar $\times$ 1.81.an |
2.81.abe_ov |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 30 x + 385 x^{2} - 2430 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$52$ |
$4487$ |
simple |
2.81.abe_ow |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 16 x + 81 x^{2} )( 1 - 14 x + 81 x^{2} )$ |
$2$ |
$0$ |
$52$ |
$4488$ |
1.81.aq $\times$ 1.81.ao |
2.81.abd_nw |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 11 x + 81 x^{2} )$ |
$1$ |
$1$ |
$53$ |
$4544$ |
1.81.as $\times$ 1.81.al |
2.81.abd_nx |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 29 x + 361 x^{2} - 2349 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$53$ |
$4545$ |
simple |
2.81.abd_ny |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 29 x + 362 x^{2} - 2349 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$53$ |
$4546$ |
simple |
2.81.abd_oa |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 29 x + 364 x^{2} - 2349 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$53$ |
$4548$ |
simple |
2.81.abd_ob |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 29 x + 365 x^{2} - 2349 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$53$ |
$4549$ |
simple |
2.81.abd_od |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 29 x + 367 x^{2} - 2349 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$53$ |
$4551$ |
simple |
2.81.abd_oe |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 29 x + 368 x^{2} - 2349 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$53$ |
$4552$ |
simple |
2.81.abd_og |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 16 x + 81 x^{2} )( 1 - 13 x + 81 x^{2} )$ |
$2$ |
$0$ |
$53$ |
$4554$ |
1.81.aq $\times$ 1.81.an |
2.81.abd_oh |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 29 x + 371 x^{2} - 2349 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$53$ |
$4555$ |
simple |
2.81.abc_ne |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 10 x + 81 x^{2} )$ |
$1$ |
$1$ |
$54$ |
$4608$ |
1.81.as $\times$ 1.81.ak |
2.81.abc_nf |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 343 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4609$ |
simple |
2.81.abc_ng |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 344 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4610$ |
simple |
2.81.abc_ni |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 346 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4612$ |
simple |
2.81.abc_nj |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 347 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4613$ |
simple |
2.81.abc_nl |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 17 x + 81 x^{2} )( 1 - 11 x + 81 x^{2} )$ |
$2$ |
$0$ |
$54$ |
$4615$ |
1.81.ar $\times$ 1.81.al |
2.81.abc_nm |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 350 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4616$ |
simple |
2.81.abc_nn |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 351 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$1$ |
$1$ |
$54$ |
$4617$ |
simple |
2.81.abc_no |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 352 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4618$ |
simple |
2.81.abc_np |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 353 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4619$ |
simple |
2.81.abc_nr |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 355 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4621$ |
simple |
2.81.abc_ns |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 28 x + 356 x^{2} - 2268 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$54$ |
$4622$ |
simple |
2.81.abc_nu |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 14 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$54$ |
$4624$ |
1.81.ao 2 |
2.81.abb_mm |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 9 x + 81 x^{2} )$ |
$0$ |
$2$ |
$55$ |
$4672$ |
1.81.as $\times$ 1.81.aj |
2.81.abb_mn |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 27 x + 325 x^{2} - 2187 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$55$ |
$4673$ |
simple |
2.81.abb_mo |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 27 x + 326 x^{2} - 2187 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$55$ |
$4674$ |
simple |
2.81.abb_mq |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 27 x + 328 x^{2} - 2187 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$55$ |
$4676$ |
simple |
2.81.abb_mr |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 27 x + 329 x^{2} - 2187 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$55$ |
$4677$ |
simple |
2.81.abb_mt |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 27 x + 331 x^{2} - 2187 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$55$ |
$4679$ |
simple |
2.81.abb_mu |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 17 x + 81 x^{2} )( 1 - 10 x + 81 x^{2} )$ |
$2$ |
$0$ |
$55$ |
$4680$ |
1.81.ar $\times$ 1.81.ak |