Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.89.abk_ti |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 18 x + 89 x^{2} )^{2}$ |
$2$ |
$0$ |
$54$ |
$5184$ |
1.89.as 2 |
2.89.abj_sp |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 35 x + 483 x^{2} - 3115 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$55$ |
$5255$ |
simple |
2.89.abj_sq |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 18 x + 89 x^{2} )( 1 - 17 x + 89 x^{2} )$ |
$2$ |
$0$ |
$55$ |
$5256$ |
1.89.as $\times$ 1.89.ar |
2.89.abi_rw |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 34 x + 464 x^{2} - 3026 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$56$ |
$5326$ |
simple |
2.89.abi_rx |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 34 x + 465 x^{2} - 3026 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$56$ |
$5327$ |
simple |
2.89.abi_ry |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 18 x + 89 x^{2} )( 1 - 16 x + 89 x^{2} )$ |
$2$ |
$0$ |
$56$ |
$5328$ |
1.89.as $\times$ 1.89.aq |
2.89.abi_rz |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 17 x + 89 x^{2} )^{2}$ |
$2$ |
$0$ |
$56$ |
$5329$ |
1.89.ar 2 |
2.89.abh_rd |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 33 x + 445 x^{2} - 2937 x^{3} + 7921 x^{4}$ |
$1$ |
$1$ |
$57$ |
$5397$ |
simple |
2.89.abh_re |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 33 x + 446 x^{2} - 2937 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$57$ |
$5398$ |
simple |
2.89.abh_rf |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 33 x + 447 x^{2} - 2937 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$57$ |
$5399$ |
simple |
2.89.abh_rg |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 18 x + 89 x^{2} )( 1 - 15 x + 89 x^{2} )$ |
$2$ |
$0$ |
$57$ |
$5400$ |
1.89.as $\times$ 1.89.ap |
2.89.abh_rh |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 33 x + 449 x^{2} - 2937 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$57$ |
$5401$ |
simple |
2.89.abh_ri |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 17 x + 89 x^{2} )( 1 - 16 x + 89 x^{2} )$ |
$2$ |
$0$ |
$57$ |
$5402$ |
1.89.ar $\times$ 1.89.aq |
2.89.abg_qk |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 32 x + 426 x^{2} - 2848 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$58$ |
$5468$ |
simple |
2.89.abg_ql |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 32 x + 427 x^{2} - 2848 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$58$ |
$5469$ |
simple |
2.89.abg_qm |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 32 x + 428 x^{2} - 2848 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$58$ |
$5470$ |
simple |
2.89.abg_qn |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 32 x + 429 x^{2} - 2848 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$58$ |
$5471$ |
simple |
2.89.abg_qo |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 18 x + 89 x^{2} )( 1 - 14 x + 89 x^{2} )$ |
$2$ |
$0$ |
$58$ |
$5472$ |
1.89.as $\times$ 1.89.ao |
2.89.abg_qp |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 32 x + 431 x^{2} - 2848 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$58$ |
$5473$ |
simple |
2.89.abg_qq |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 32 x + 432 x^{2} - 2848 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$58$ |
$5474$ |
simple |
2.89.abg_qr |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 17 x + 89 x^{2} )( 1 - 15 x + 89 x^{2} )$ |
$2$ |
$0$ |
$58$ |
$5475$ |
1.89.ar $\times$ 1.89.ap |
2.89.abg_qs |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 16 x + 89 x^{2} )^{2}$ |
$2$ |
$0$ |
$58$ |
$5476$ |
1.89.aq 2 |
2.89.abf_pr |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 407 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5539$ |
simple |
2.89.abf_ps |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 408 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5540$ |
simple |
2.89.abf_pt |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 409 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5541$ |
simple |
2.89.abf_pu |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 410 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5542$ |
simple |
2.89.abf_pv |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 411 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5543$ |
simple |
2.89.abf_pw |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 18 x + 89 x^{2} )( 1 - 13 x + 89 x^{2} )$ |
$2$ |
$0$ |
$59$ |
$5544$ |
1.89.as $\times$ 1.89.an |
2.89.abf_px |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 413 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5545$ |
simple |
2.89.abf_py |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 414 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5546$ |
simple |
2.89.abf_pz |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 415 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5547$ |
simple |
2.89.abf_qa |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 17 x + 89 x^{2} )( 1 - 14 x + 89 x^{2} )$ |
$2$ |
$0$ |
$59$ |
$5548$ |
1.89.ar $\times$ 1.89.ao |
2.89.abf_qb |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 31 x + 417 x^{2} - 2759 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$59$ |
$5549$ |
simple |
2.89.abf_qc |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 16 x + 89 x^{2} )( 1 - 15 x + 89 x^{2} )$ |
$2$ |
$0$ |
$59$ |
$5550$ |
1.89.aq $\times$ 1.89.ap |
2.89.abe_oz |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 389 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5611$ |
simple |
2.89.abe_pa |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 390 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5612$ |
simple |
2.89.abe_pb |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 391 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5613$ |
simple |
2.89.abe_pc |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 392 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5614$ |
simple |
2.89.abe_pd |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 393 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5615$ |
simple |
2.89.abe_pe |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 18 x + 89 x^{2} )( 1 - 12 x + 89 x^{2} )$ |
$2$ |
$0$ |
$60$ |
$5616$ |
1.89.as $\times$ 1.89.am |
2.89.abe_pf |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 395 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5617$ |
simple |
2.89.abe_pg |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 396 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5618$ |
simple |
2.89.abe_ph |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 397 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5619$ |
simple |
2.89.abe_pi |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 398 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5620$ |
simple |
2.89.abe_pj |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 17 x + 89 x^{2} )( 1 - 13 x + 89 x^{2} )$ |
$2$ |
$0$ |
$60$ |
$5621$ |
1.89.ar $\times$ 1.89.an |
2.89.abe_pk |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 400 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5622$ |
simple |
2.89.abe_pl |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 30 x + 401 x^{2} - 2670 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$60$ |
$5623$ |
simple |
2.89.abe_pm |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 16 x + 89 x^{2} )( 1 - 14 x + 89 x^{2} )$ |
$2$ |
$0$ |
$60$ |
$5624$ |
1.89.aq $\times$ 1.89.ao |
2.89.abe_pn |
$2$ |
$\F_{89}$ |
$89$ |
$( 1 - 15 x + 89 x^{2} )^{2}$ |
$2$ |
$0$ |
$60$ |
$5625$ |
1.89.ap 2 |
2.89.abd_og |
$2$ |
$\F_{89}$ |
$89$ |
$1 - 29 x + 370 x^{2} - 2581 x^{3} + 7921 x^{4}$ |
$2$ |
$0$ |
$61$ |
$5682$ |
simple |