Abelian variety search results

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Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	jacobians	hyperelliptic jacobians	Isogeny factors
1.17.ai	$1$	$\F_{17}$	$17$	$1 - 8 x + 17 x^{2}$	$1$	$0$	$10$	$10$	$1$	$1$	simple
1.17.ah	$1$	$\F_{17}$	$17$	$1 - 7 x + 17 x^{2}$	$1$	$0$	$11$	$11$	$1$	$1$	simple
1.17.ag	$1$	$\F_{17}$	$17$	$1 - 6 x + 17 x^{2}$	$1$	$0$	$12$	$12$	$3$	$3$	simple
1.17.af	$1$	$\F_{17}$	$17$	$1 - 5 x + 17 x^{2}$	$1$	$0$	$13$	$13$	$1$	$1$	simple
1.17.ae	$1$	$\F_{17}$	$17$	$1 - 4 x + 17 x^{2}$	$1$	$0$	$14$	$14$	$2$	$2$	simple
1.17.ad	$1$	$\F_{17}$	$17$	$1 - 3 x + 17 x^{2}$	$1$	$0$	$15$	$15$	$3$	$3$	simple
1.17.ac	$1$	$\F_{17}$	$17$	$1 - 2 x + 17 x^{2}$	$1$	$0$	$16$	$16$	$4$	$4$	simple
1.17.ab	$1$	$\F_{17}$	$17$	$1 - x + 17 x^{2}$	$1$	$0$	$17$	$17$	$1$	$1$	simple
1.17.a	$1$	$\F_{17}$	$17$	$1 + 17 x^{2}$	$0$	$1$	$18$	$18$	$4$	$4$	simple
1.17.b	$1$	$\F_{17}$	$17$	$1 + x + 17 x^{2}$	$1$	$0$	$19$	$19$	$1$	$1$	simple
1.17.c	$1$	$\F_{17}$	$17$	$1 + 2 x + 17 x^{2}$	$1$	$0$	$20$	$20$	$4$	$4$	simple
1.17.d	$1$	$\F_{17}$	$17$	$1 + 3 x + 17 x^{2}$	$1$	$0$	$21$	$21$	$3$	$3$	simple
1.17.e	$1$	$\F_{17}$	$17$	$1 + 4 x + 17 x^{2}$	$1$	$0$	$22$	$22$	$2$	$2$	simple
1.17.f	$1$	$\F_{17}$	$17$	$1 + 5 x + 17 x^{2}$	$1$	$0$	$23$	$23$	$1$	$1$	simple
1.17.g	$1$	$\F_{17}$	$17$	$1 + 6 x + 17 x^{2}$	$1$	$0$	$24$	$24$	$3$	$3$	simple
1.17.h	$1$	$\F_{17}$	$17$	$1 + 7 x + 17 x^{2}$	$1$	$0$	$25$	$25$	$1$	$1$	simple
1.17.i	$1$	$\F_{17}$	$17$	$1 + 8 x + 17 x^{2}$	$1$	$0$	$26$	$26$	$1$	$1$	simple
2.17.aq_du	$2$	$\F_{17}$	$17$	$( 1 - 8 x + 17 x^{2} )^{2}$	$2$	$0$	$2$	$100$	$0$	$0$	1.17.ai^2
2.17.ap_dm	$2$	$\F_{17}$	$17$	$( 1 - 8 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )$	$2$	$0$	$3$	$110$	$0$	$0$	1.17.ai $\times$ 1.17.ah
2.17.ao_de	$2$	$\F_{17}$	$17$	$( 1 - 8 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )$	$2$	$0$	$4$	$120$	$2$	$2$	1.17.ai $\times$ 1.17.ag
2.17.ao_df	$2$	$\F_{17}$	$17$	$( 1 - 7 x + 17 x^{2} )^{2}$	$2$	$0$	$4$	$121$	$1$	$1$	1.17.ah^2
2.17.an_cw	$2$	$\F_{17}$	$17$	$( 1 - 8 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$	$2$	$0$	$5$	$130$	$1$	$1$	1.17.ai $\times$ 1.17.af
2.17.an_cx	$2$	$\F_{17}$	$17$	$1 - 13 x + 75 x^{2} - 221 x^{3} + 289 x^{4}$	$2$	$0$	$5$	$131$	$1$	$1$	simple
2.17.an_cy	$2$	$\F_{17}$	$17$	$( 1 - 7 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )$	$2$	$0$	$5$	$132$	$0$	$0$	1.17.ah $\times$ 1.17.ag
2.17.am_cn	$2$	$\F_{17}$	$17$	$1 - 12 x + 65 x^{2} - 204 x^{3} + 289 x^{4}$	$2$	$0$	$6$	$139$	$2$	$2$	simple
2.17.am_co	$2$	$\F_{17}$	$17$	$( 1 - 8 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$	$2$	$0$	$6$	$140$	$4$	$4$	1.17.ai $\times$ 1.17.ae
2.17.am_cp	$2$	$\F_{17}$	$17$	$1 - 12 x + 67 x^{2} - 204 x^{3} + 289 x^{4}$	$2$	$0$	$6$	$141$	$4$	$4$	simple
2.17.am_cq	$2$	$\F_{17}$	$17$	$1 - 12 x + 68 x^{2} - 204 x^{3} + 289 x^{4}$	$1$	$1$	$6$	$142$	$4$	$4$	simple
2.17.am_cr	$2$	$\F_{17}$	$17$	$( 1 - 7 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$	$2$	$0$	$6$	$143$	$3$	$3$	1.17.ah $\times$ 1.17.af
2.17.am_cs	$2$	$\F_{17}$	$17$	$( 1 - 6 x + 17 x^{2} )^{2}$	$2$	$0$	$6$	$144$	$6$	$6$	1.17.ag^2
2.17.al_cf	$2$	$\F_{17}$	$17$	$1 - 11 x + 57 x^{2} - 187 x^{3} + 289 x^{4}$	$2$	$0$	$7$	$149$	$1$	$1$	simple
2.17.al_cg	$2$	$\F_{17}$	$17$	$( 1 - 8 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$	$2$	$0$	$7$	$150$	$3$	$3$	1.17.ai $\times$ 1.17.ad
2.17.al_ch	$2$	$\F_{17}$	$17$	$1 - 11 x + 59 x^{2} - 187 x^{3} + 289 x^{4}$	$2$	$0$	$7$	$151$	$2$	$2$	simple
2.17.al_ci	$2$	$\F_{17}$	$17$	$1 - 11 x + 60 x^{2} - 187 x^{3} + 289 x^{4}$	$2$	$0$	$7$	$152$	$6$	$6$	simple
2.17.al_cj	$2$	$\F_{17}$	$17$	$1 - 11 x + 61 x^{2} - 187 x^{3} + 289 x^{4}$	$2$	$0$	$7$	$153$	$5$	$5$	simple
2.17.al_ck	$2$	$\F_{17}$	$17$	$( 1 - 7 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$	$2$	$0$	$7$	$154$	$4$	$4$	1.17.ah $\times$ 1.17.ae
2.17.al_cl	$2$	$\F_{17}$	$17$	$1 - 11 x + 63 x^{2} - 187 x^{3} + 289 x^{4}$	$2$	$0$	$7$	$155$	$3$	$3$	simple
2.17.al_cm	$2$	$\F_{17}$	$17$	$( 1 - 6 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$	$2$	$0$	$7$	$156$	$0$	$0$	1.17.ag $\times$ 1.17.af
2.17.ak_bx	$2$	$\F_{17}$	$17$	$1 - 10 x + 49 x^{2} - 170 x^{3} + 289 x^{4}$	$2$	$0$	$8$	$159$	$2$	$2$	simple
2.17.ak_by	$2$	$\F_{17}$	$17$	$( 1 - 8 x + 17 x^{2} )( 1 - 2 x + 17 x^{2} )$	$2$	$0$	$8$	$160$	$10$	$10$	1.17.ai $\times$ 1.17.ac
2.17.ak_bz	$2$	$\F_{17}$	$17$	$1 - 10 x + 51 x^{2} - 170 x^{3} + 289 x^{4}$	$1$	$1$	$8$	$161$	$6$	$6$	simple
2.17.ak_ca	$2$	$\F_{17}$	$17$	$1 - 10 x + 52 x^{2} - 170 x^{3} + 289 x^{4}$	$2$	$0$	$8$	$162$	$8$	$8$	simple
2.17.ak_cb	$2$	$\F_{17}$	$17$	$1 - 10 x + 53 x^{2} - 170 x^{3} + 289 x^{4}$	$2$	$0$	$8$	$163$	$2$	$2$	simple
2.17.ak_cc	$2$	$\F_{17}$	$17$	$1 - 10 x + 54 x^{2} - 170 x^{3} + 289 x^{4}$	$2$	$0$	$8$	$164$	$6$	$6$	simple
2.17.ak_cd	$2$	$\F_{17}$	$17$	$( 1 - 7 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$	$2$	$0$	$8$	$165$	$18$	$18$	1.17.ah $\times$ 1.17.ad
2.17.ak_ce	$2$	$\F_{17}$	$17$	$1 - 10 x + 56 x^{2} - 170 x^{3} + 289 x^{4}$	$2$	$0$	$8$	$166$	$4$	$4$	simple
2.17.ak_cf	$2$	$\F_{17}$	$17$	$1 - 10 x + 57 x^{2} - 170 x^{3} + 289 x^{4}$	$2$	$0$	$8$	$167$	$3$	$3$	simple
2.17.ak_cg	$2$	$\F_{17}$	$17$	$( 1 - 6 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$	$2$	$0$	$8$	$168$	$8$	$8$	1.17.ag $\times$ 1.17.ae
2.17.ak_ch	$2$	$\F_{17}$	$17$	$( 1 - 5 x + 17 x^{2} )^{2}$	$2$	$0$	$8$	$169$	$2$	$2$	1.17.af^2
2.17.aj_bp	$2$	$\F_{17}$	$17$	$1 - 9 x + 41 x^{2} - 153 x^{3} + 289 x^{4}$	$2$	$0$	$9$	$169$	$4$	$4$	simple

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