Abelian variety search results

Results (1-50 of 157503 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
1.19.ai	$1$	$\F_{19}$	$19$	$1 - 8 x + 19 x^{2}$	$1$	$0$	$12$	$12$	simple
1.19.ah	$1$	$\F_{19}$	$19$	$1 - 7 x + 19 x^{2}$	$1$	$0$	$13$	$13$	simple
1.19.ag	$1$	$\F_{19}$	$19$	$1 - 6 x + 19 x^{2}$	$1$	$0$	$14$	$14$	simple
1.19.af	$1$	$\F_{19}$	$19$	$1 - 5 x + 19 x^{2}$	$1$	$0$	$15$	$15$	simple
1.19.ae	$1$	$\F_{19}$	$19$	$1 - 4 x + 19 x^{2}$	$1$	$0$	$16$	$16$	simple
1.19.ad	$1$	$\F_{19}$	$19$	$1 - 3 x + 19 x^{2}$	$1$	$0$	$17$	$17$	simple
1.19.ac	$1$	$\F_{19}$	$19$	$1 - 2 x + 19 x^{2}$	$1$	$0$	$18$	$18$	simple
1.19.ab	$1$	$\F_{19}$	$19$	$1 - x + 19 x^{2}$	$1$	$0$	$19$	$19$	simple
1.19.a	$1$	$\F_{19}$	$19$	$1 + 19 x^{2}$	$0$	$1$	$20$	$20$	simple
1.19.b	$1$	$\F_{19}$	$19$	$1 + x + 19 x^{2}$	$1$	$0$	$21$	$21$	simple
1.19.c	$1$	$\F_{19}$	$19$	$1 + 2 x + 19 x^{2}$	$1$	$0$	$22$	$22$	simple
1.19.d	$1$	$\F_{19}$	$19$	$1 + 3 x + 19 x^{2}$	$1$	$0$	$23$	$23$	simple
1.19.e	$1$	$\F_{19}$	$19$	$1 + 4 x + 19 x^{2}$	$1$	$0$	$24$	$24$	simple
1.19.f	$1$	$\F_{19}$	$19$	$1 + 5 x + 19 x^{2}$	$1$	$0$	$25$	$25$	simple
1.19.g	$1$	$\F_{19}$	$19$	$1 + 6 x + 19 x^{2}$	$1$	$0$	$26$	$26$	simple
1.19.h	$1$	$\F_{19}$	$19$	$1 + 7 x + 19 x^{2}$	$1$	$0$	$27$	$27$	simple
1.19.i	$1$	$\F_{19}$	$19$	$1 + 8 x + 19 x^{2}$	$1$	$0$	$28$	$28$	simple
2.19.aq_dy	$2$	$\F_{19}$	$19$	$( 1 - 8 x + 19 x^{2} )^{2}$	$2$	$0$	$4$	$144$	1.19.ai^2
2.19.ap_dp	$2$	$\F_{19}$	$19$	$1 - 15 x + 93 x^{2} - 285 x^{3} + 361 x^{4}$	$2$	$0$	$5$	$155$	simple
2.19.ap_dq	$2$	$\F_{19}$	$19$	$( 1 - 8 x + 19 x^{2} )( 1 - 7 x + 19 x^{2} )$	$2$	$0$	$5$	$156$	1.19.ai $\times$ 1.19.ah
2.19.ao_dh	$2$	$\F_{19}$	$19$	$1 - 14 x + 85 x^{2} - 266 x^{3} + 361 x^{4}$	$2$	$0$	$6$	$167$	simple
2.19.ao_di	$2$	$\F_{19}$	$19$	$( 1 - 8 x + 19 x^{2} )( 1 - 6 x + 19 x^{2} )$	$2$	$0$	$6$	$168$	1.19.ai $\times$ 1.19.ag
2.19.ao_dj	$2$	$\F_{19}$	$19$	$( 1 - 7 x + 19 x^{2} )^{2}$	$2$	$0$	$6$	$169$	1.19.ah^2
2.19.an_cy	$2$	$\F_{19}$	$19$	$1 - 13 x + 76 x^{2} - 247 x^{3} + 361 x^{4}$	$1$	$1$	$7$	$178$	simple
2.19.an_cz	$2$	$\F_{19}$	$19$	$1 - 13 x + 77 x^{2} - 247 x^{3} + 361 x^{4}$	$2$	$0$	$7$	$179$	simple
2.19.an_da	$2$	$\F_{19}$	$19$	$( 1 - 8 x + 19 x^{2} )( 1 - 5 x + 19 x^{2} )$	$2$	$0$	$7$	$180$	1.19.ai $\times$ 1.19.af
2.19.an_db	$2$	$\F_{19}$	$19$	$1 - 13 x + 79 x^{2} - 247 x^{3} + 361 x^{4}$	$2$	$0$	$7$	$181$	simple
2.19.an_dc	$2$	$\F_{19}$	$19$	$( 1 - 7 x + 19 x^{2} )( 1 - 6 x + 19 x^{2} )$	$2$	$0$	$7$	$182$	1.19.ah $\times$ 1.19.ag
2.19.am_cp	$2$	$\F_{19}$	$19$	$1 - 12 x + 67 x^{2} - 228 x^{3} + 361 x^{4}$	$2$	$0$	$8$	$189$	simple
2.19.am_cq	$2$	$\F_{19}$	$19$	$1 - 12 x + 68 x^{2} - 228 x^{3} + 361 x^{4}$	$2$	$0$	$8$	$190$	simple
2.19.am_cr	$2$	$\F_{19}$	$19$	$1 - 12 x + 69 x^{2} - 228 x^{3} + 361 x^{4}$	$2$	$0$	$8$	$191$	simple
2.19.am_cs	$2$	$\F_{19}$	$19$	$( 1 - 8 x + 19 x^{2} )( 1 - 4 x + 19 x^{2} )$	$2$	$0$	$8$	$192$	1.19.ai $\times$ 1.19.ae
2.19.am_ct	$2$	$\F_{19}$	$19$	$1 - 12 x + 71 x^{2} - 228 x^{3} + 361 x^{4}$	$2$	$0$	$8$	$193$	simple
2.19.am_cu	$2$	$\F_{19}$	$19$	$1 - 12 x + 72 x^{2} - 228 x^{3} + 361 x^{4}$	$2$	$0$	$8$	$194$	simple
2.19.am_cv	$2$	$\F_{19}$	$19$	$( 1 - 7 x + 19 x^{2} )( 1 - 5 x + 19 x^{2} )$	$2$	$0$	$8$	$195$	1.19.ah $\times$ 1.19.af
2.19.am_cw	$2$	$\F_{19}$	$19$	$( 1 - 6 x + 19 x^{2} )^{2}$	$2$	$0$	$8$	$196$	1.19.ag^2
2.19.al_cg	$2$	$\F_{19}$	$19$	$1 - 11 x + 58 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$200$	simple
2.19.al_ch	$2$	$\F_{19}$	$19$	$1 - 11 x + 59 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$201$	simple
2.19.al_ci	$2$	$\F_{19}$	$19$	$1 - 11 x + 60 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$202$	simple
2.19.al_cj	$2$	$\F_{19}$	$19$	$1 - 11 x + 61 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$203$	simple
2.19.al_ck	$2$	$\F_{19}$	$19$	$( 1 - 8 x + 19 x^{2} )( 1 - 3 x + 19 x^{2} )$	$2$	$0$	$9$	$204$	1.19.ai $\times$ 1.19.ad
2.19.al_cl	$2$	$\F_{19}$	$19$	$1 - 11 x + 63 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$205$	simple
2.19.al_cm	$2$	$\F_{19}$	$19$	$1 - 11 x + 64 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$206$	simple
2.19.al_cn	$2$	$\F_{19}$	$19$	$1 - 11 x + 65 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$207$	simple
2.19.al_co	$2$	$\F_{19}$	$19$	$( 1 - 7 x + 19 x^{2} )( 1 - 4 x + 19 x^{2} )$	$2$	$0$	$9$	$208$	1.19.ah $\times$ 1.19.ae
2.19.al_cp	$2$	$\F_{19}$	$19$	$1 - 11 x + 67 x^{2} - 209 x^{3} + 361 x^{4}$	$2$	$0$	$9$	$209$	simple
2.19.al_cq	$2$	$\F_{19}$	$19$	$( 1 - 6 x + 19 x^{2} )( 1 - 5 x + 19 x^{2} )$	$2$	$0$	$9$	$210$	1.19.ag $\times$ 1.19.af
2.19.ak_by	$2$	$\F_{19}$	$19$	$1 - 10 x + 50 x^{2} - 190 x^{3} + 361 x^{4}$	$2$	$0$	$10$	$212$	simple
2.19.ak_bz	$2$	$\F_{19}$	$19$	$1 - 10 x + 51 x^{2} - 190 x^{3} + 361 x^{4}$	$2$	$0$	$10$	$213$	simple
2.19.ak_ca	$2$	$\F_{19}$	$19$	$1 - 10 x + 52 x^{2} - 190 x^{3} + 361 x^{4}$	$2$	$0$	$10$	$214$	simple