Abelian variety search results

Results (1-50 of 1861 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.31.aw_hb	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )^{2}$	$2$	$0$	$10$	$441$	1.31.al^2
2.31.av_gq	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 10 x + 31 x^{2} )$	$2$	$0$	$11$	$462$	1.31.al $\times$ 1.31.ak
2.31.au_gf	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 9 x + 31 x^{2} )$	$2$	$0$	$12$	$483$	1.31.al $\times$ 1.31.aj
2.31.au_gg	$2$	$\F_{31}$	$31$	$( 1 - 10 x + 31 x^{2} )^{2}$	$2$	$0$	$12$	$484$	1.31.ak^2
2.31.at_fu	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 8 x + 31 x^{2} )$	$2$	$0$	$13$	$504$	1.31.al $\times$ 1.31.ai
2.31.at_fv	$2$	$\F_{31}$	$31$	$1 - 19 x + 151 x^{2} - 589 x^{3} + 961 x^{4}$	$2$	$0$	$13$	$505$	simple
2.31.at_fw	$2$	$\F_{31}$	$31$	$( 1 - 10 x + 31 x^{2} )( 1 - 9 x + 31 x^{2} )$	$2$	$0$	$13$	$506$	1.31.ak $\times$ 1.31.aj
2.31.as_fj	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 7 x + 31 x^{2} )$	$2$	$0$	$14$	$525$	1.31.al $\times$ 1.31.ah
2.31.as_fk	$2$	$\F_{31}$	$31$	$1 - 18 x + 140 x^{2} - 558 x^{3} + 961 x^{4}$	$2$	$0$	$14$	$526$	simple
2.31.as_fl	$2$	$\F_{31}$	$31$	$1 - 18 x + 141 x^{2} - 558 x^{3} + 961 x^{4}$	$2$	$0$	$14$	$527$	simple
2.31.as_fm	$2$	$\F_{31}$	$31$	$( 1 - 10 x + 31 x^{2} )( 1 - 8 x + 31 x^{2} )$	$2$	$0$	$14$	$528$	1.31.ak $\times$ 1.31.ai
2.31.as_fn	$2$	$\F_{31}$	$31$	$( 1 - 9 x + 31 x^{2} )^{2}$	$2$	$0$	$14$	$529$	1.31.aj^2
2.31.ar_ey	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 6 x + 31 x^{2} )$	$2$	$0$	$15$	$546$	1.31.al $\times$ 1.31.ag
2.31.ar_ez	$2$	$\F_{31}$	$31$	$1 - 17 x + 129 x^{2} - 527 x^{3} + 961 x^{4}$	$2$	$0$	$15$	$547$	simple
2.31.ar_fa	$2$	$\F_{31}$	$31$	$1 - 17 x + 130 x^{2} - 527 x^{3} + 961 x^{4}$	$2$	$0$	$15$	$548$	simple
2.31.ar_fb	$2$	$\F_{31}$	$31$	$1 - 17 x + 131 x^{2} - 527 x^{3} + 961 x^{4}$	$2$	$0$	$15$	$549$	simple
2.31.ar_fc	$2$	$\F_{31}$	$31$	$( 1 - 10 x + 31 x^{2} )( 1 - 7 x + 31 x^{2} )$	$2$	$0$	$15$	$550$	1.31.ak $\times$ 1.31.ah
2.31.ar_fd	$2$	$\F_{31}$	$31$	$1 - 17 x + 133 x^{2} - 527 x^{3} + 961 x^{4}$	$2$	$0$	$15$	$551$	simple
2.31.ar_fe	$2$	$\F_{31}$	$31$	$( 1 - 9 x + 31 x^{2} )( 1 - 8 x + 31 x^{2} )$	$2$	$0$	$15$	$552$	1.31.aj $\times$ 1.31.ai
2.31.aq_en	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 5 x + 31 x^{2} )$	$2$	$0$	$16$	$567$	1.31.al $\times$ 1.31.af
2.31.aq_eo	$2$	$\F_{31}$	$31$	$1 - 16 x + 118 x^{2} - 496 x^{3} + 961 x^{4}$	$2$	$0$	$16$	$568$	simple
2.31.aq_ep	$2$	$\F_{31}$	$31$	$1 - 16 x + 119 x^{2} - 496 x^{3} + 961 x^{4}$	$2$	$0$	$16$	$569$	simple
2.31.aq_eq	$2$	$\F_{31}$	$31$	$1 - 16 x + 120 x^{2} - 496 x^{3} + 961 x^{4}$	$2$	$0$	$16$	$570$	simple
2.31.aq_er	$2$	$\F_{31}$	$31$	$1 - 16 x + 121 x^{2} - 496 x^{3} + 961 x^{4}$	$2$	$0$	$16$	$571$	simple
2.31.aq_es	$2$	$\F_{31}$	$31$	$( 1 - 10 x + 31 x^{2} )( 1 - 6 x + 31 x^{2} )$	$2$	$0$	$16$	$572$	1.31.ak $\times$ 1.31.ag
2.31.aq_et	$2$	$\F_{31}$	$31$	$1 - 16 x + 123 x^{2} - 496 x^{3} + 961 x^{4}$	$2$	$0$	$16$	$573$	simple
2.31.aq_eu	$2$	$\F_{31}$	$31$	$1 - 16 x + 124 x^{2} - 496 x^{3} + 961 x^{4}$	$1$	$1$	$16$	$574$	simple
2.31.aq_ev	$2$	$\F_{31}$	$31$	$( 1 - 9 x + 31 x^{2} )( 1 - 7 x + 31 x^{2} )$	$2$	$0$	$16$	$575$	1.31.aj $\times$ 1.31.ah
2.31.aq_ew	$2$	$\F_{31}$	$31$	$( 1 - 8 x + 31 x^{2} )^{2}$	$2$	$0$	$16$	$576$	1.31.ai^2
2.31.ap_ec	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 4 x + 31 x^{2} )$	$2$	$0$	$17$	$588$	1.31.al $\times$ 1.31.ae
2.31.ap_ed	$2$	$\F_{31}$	$31$	$1 - 15 x + 107 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$589$	simple
2.31.ap_ee	$2$	$\F_{31}$	$31$	$1 - 15 x + 108 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$590$	simple
2.31.ap_ef	$2$	$\F_{31}$	$31$	$1 - 15 x + 109 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$591$	simple
2.31.ap_eg	$2$	$\F_{31}$	$31$	$1 - 15 x + 110 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$592$	simple
2.31.ap_eh	$2$	$\F_{31}$	$31$	$1 - 15 x + 111 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$593$	simple
2.31.ap_ei	$2$	$\F_{31}$	$31$	$( 1 - 10 x + 31 x^{2} )( 1 - 5 x + 31 x^{2} )$	$2$	$0$	$17$	$594$	1.31.ak $\times$ 1.31.af
2.31.ap_ej	$2$	$\F_{31}$	$31$	$1 - 15 x + 113 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$595$	simple
2.31.ap_ek	$2$	$\F_{31}$	$31$	$1 - 15 x + 114 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$596$	simple
2.31.ap_el	$2$	$\F_{31}$	$31$	$1 - 15 x + 115 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$597$	simple
2.31.ap_em	$2$	$\F_{31}$	$31$	$( 1 - 9 x + 31 x^{2} )( 1 - 6 x + 31 x^{2} )$	$2$	$0$	$17$	$598$	1.31.aj $\times$ 1.31.ag
2.31.ap_en	$2$	$\F_{31}$	$31$	$1 - 15 x + 117 x^{2} - 465 x^{3} + 961 x^{4}$	$2$	$0$	$17$	$599$	simple
2.31.ap_eo	$2$	$\F_{31}$	$31$	$( 1 - 8 x + 31 x^{2} )( 1 - 7 x + 31 x^{2} )$	$2$	$0$	$17$	$600$	1.31.ai $\times$ 1.31.ah
2.31.ao_dq	$2$	$\F_{31}$	$31$	$1 - 14 x + 94 x^{2} - 434 x^{3} + 961 x^{4}$	$2$	$0$	$18$	$608$	simple
2.31.ao_dr	$2$	$\F_{31}$	$31$	$( 1 - 11 x + 31 x^{2} )( 1 - 3 x + 31 x^{2} )$	$2$	$0$	$18$	$609$	1.31.al $\times$ 1.31.ad
2.31.ao_ds	$2$	$\F_{31}$	$31$	$1 - 14 x + 96 x^{2} - 434 x^{3} + 961 x^{4}$	$2$	$0$	$18$	$610$	simple
2.31.ao_dt	$2$	$\F_{31}$	$31$	$1 - 14 x + 97 x^{2} - 434 x^{3} + 961 x^{4}$	$2$	$0$	$18$	$611$	simple
2.31.ao_du	$2$	$\F_{31}$	$31$	$1 - 14 x + 98 x^{2} - 434 x^{3} + 961 x^{4}$	$2$	$0$	$18$	$612$	simple
2.31.ao_dv	$2$	$\F_{31}$	$31$	$1 - 14 x + 99 x^{2} - 434 x^{3} + 961 x^{4}$	$2$	$0$	$18$	$613$	simple
2.31.ao_dw	$2$	$\F_{31}$	$31$	$1 - 14 x + 100 x^{2} - 434 x^{3} + 961 x^{4}$	$2$	$0$	$18$	$614$	simple
2.31.ao_dx	$2$	$\F_{31}$	$31$	$1 - 14 x + 101 x^{2} - 434 x^{3} + 961 x^{4}$	$2$	$0$	$18$	$615$	simple