Abelian variety search results

Results (32 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.9.am_cc	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}$	$0$	$2$	$-2$	$16$	1.9.ag^2
2.9.ak_br	$2$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )^{2}$	$2$	$0$	$0$	$25$	1.9.af^2
2.9.ai_bi	$2$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )^{2}$	$2$	$0$	$2$	$36$	1.9.ae^2
2.9.ag_bb	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )^{2}$	$0$	$2$	$4$	$49$	1.9.ad^2
2.9.af_q	$2$	$\F_{3^{2}}$	$3$	$1 - 5 x + 16 x^{2} - 45 x^{3} + 81 x^{4}$	$2$	$0$	$5$	$48$	simple
2.9.ae_w	$2$	$\F_{3^{2}}$	$3$	$( 1 - 2 x + 9 x^{2} )^{2}$	$2$	$0$	$6$	$64$	1.9.ac^2
2.9.ad_n	$2$	$\F_{3^{2}}$	$3$	$1 - 3 x + 13 x^{2} - 27 x^{3} + 81 x^{4}$	$2$	$0$	$7$	$65$	simple
2.9.ac_af	$2$	$\F_{3^{2}}$	$3$	$1 - 2 x - 5 x^{2} - 18 x^{3} + 81 x^{4}$	$2$	$0$	$8$	$57$	simple
2.9.ac_t	$2$	$\F_{3^{2}}$	$3$	$( 1 - x + 9 x^{2} )^{2}$	$2$	$0$	$8$	$81$	1.9.ab^2
2.9.ab_m	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 + 2 x + 9 x^{2} )$	$1$	$1$	$9$	$84$	1.9.ad $\times$ 1.9.c
2.9.a_ao	$2$	$\F_{3^{2}}$	$3$	$1 - 14 x^{2} + 81 x^{4}$	$2$	$0$	$10$	$68$	simple
2.9.a_ac	$2$	$\F_{3^{2}}$	$3$	$1 - 2 x^{2} + 81 x^{4}$	$2$	$0$	$10$	$80$	simple
2.9.a_s	$2$	$\F_{3^{2}}$	$3$	$( 1 + 9 x^{2} )^{2}$	$0$	$2$	$10$	$100$	1.9.a^2
2.9.b_al	$2$	$\F_{3^{2}}$	$3$	$1 + x - 11 x^{2} + 9 x^{3} + 81 x^{4}$	$2$	$0$	$11$	$81$	simple
2.9.b_n	$2$	$\F_{3^{2}}$	$3$	$1 + x + 13 x^{2} + 9 x^{3} + 81 x^{4}$	$2$	$0$	$11$	$105$	simple
2.9.c_d	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 + 5 x + 9 x^{2} )$	$1$	$1$	$12$	$105$	1.9.ad $\times$ 1.9.f
2.9.c_t	$2$	$\F_{3^{2}}$	$3$	$( 1 + x + 9 x^{2} )^{2}$	$2$	$0$	$12$	$121$	1.9.b^2
2.9.d_a	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 - 3 x + 9 x^{2} )$	$0$	$2$	$13$	$112$	1.9.ad $\times$ 1.9.g
2.9.d_q	$2$	$\F_{3^{2}}$	$3$	$1 + 3 x + 16 x^{2} + 27 x^{3} + 81 x^{4}$	$2$	$0$	$13$	$128$	simple
2.9.e_k	$2$	$\F_{3^{2}}$	$3$	$1 + 4 x + 10 x^{2} + 36 x^{3} + 81 x^{4}$	$2$	$0$	$14$	$132$	simple
2.9.e_w	$2$	$\F_{3^{2}}$	$3$	$( 1 + 2 x + 9 x^{2} )^{2}$	$2$	$0$	$14$	$144$	1.9.c^2
2.9.f_n	$2$	$\F_{3^{2}}$	$3$	$1 + 5 x + 13 x^{2} + 45 x^{3} + 81 x^{4}$	$2$	$0$	$15$	$145$	simple
2.9.f_v	$2$	$\F_{3^{2}}$	$3$	$1 + 5 x + 21 x^{2} + 45 x^{3} + 81 x^{4}$	$1$	$1$	$15$	$153$	simple
2.9.g_t	$2$	$\F_{3^{2}}$	$3$	$1 + 6 x + 19 x^{2} + 54 x^{3} + 81 x^{4}$	$2$	$0$	$16$	$161$	simple
2.9.g_bb	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x + 9 x^{2} )^{2}$	$0$	$2$	$16$	$169$	1.9.d^2
2.9.h_bc	$2$	$\F_{3^{2}}$	$3$	$( 1 + 2 x + 9 x^{2} )( 1 + 5 x + 9 x^{2} )$	$2$	$0$	$17$	$180$	1.9.c $\times$ 1.9.f
2.9.i_be	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + 2 x + 9 x^{2} )$	$1$	$1$	$18$	$192$	1.9.c $\times$ 1.9.g
2.9.i_bi	$2$	$\F_{3^{2}}$	$3$	$( 1 + 4 x + 9 x^{2} )^{2}$	$2$	$0$	$18$	$196$	1.9.e^2
2.9.j_bl	$2$	$\F_{3^{2}}$	$3$	$1 + 9 x + 37 x^{2} + 81 x^{3} + 81 x^{4}$	$2$	$0$	$19$	$209$	simple
2.9.k_br	$2$	$\F_{3^{2}}$	$3$	$( 1 + 5 x + 9 x^{2} )^{2}$	$2$	$0$	$20$	$225$	1.9.f^2
2.9.l_bw	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + 5 x + 9 x^{2} )$	$1$	$1$	$21$	$240$	1.9.f $\times$ 1.9.g
2.9.m_cc	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{4}$	$0$	$2$	$22$	$256$	1.9.g^2