Abelian variety search results

Note: Search results may be incomplete due to uncomputed quantities: jacobian_count (2316480 objects)

Results (42 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.25.at_fk	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 - 9 x + 25 x^{2} )$	$1$	$1$	$7$	$272$	1.25.ak $\times$ 1.25.aj
2.25.as_fa	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 - 8 x + 25 x^{2} )$	$1$	$1$	$8$	$288$	1.25.ak $\times$ 1.25.ai
2.25.ar_eq	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 - 7 x + 25 x^{2} )$	$1$	$1$	$9$	$304$	1.25.ak $\times$ 1.25.ah
2.25.ar_es	$2$	$\F_{5^{2}}$	$5$	$( 1 - 9 x + 25 x^{2} )( 1 - 8 x + 25 x^{2} )$	$2$	$0$	$9$	$306$	1.25.aj $\times$ 1.25.ai
2.25.ap_dw	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 - 5 x + 25 x^{2} )$	$0$	$2$	$11$	$336$	1.25.ak $\times$ 1.25.af
2.25.ap_ec	$2$	$\F_{5^{2}}$	$5$	$( 1 - 8 x + 25 x^{2} )( 1 - 7 x + 25 x^{2} )$	$2$	$0$	$11$	$342$	1.25.ai $\times$ 1.25.ah
2.25.ao_dm	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 - 4 x + 25 x^{2} )$	$1$	$1$	$12$	$352$	1.25.ak $\times$ 1.25.ae
2.25.an_dc	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 - 3 x + 25 x^{2} )$	$1$	$1$	$13$	$368$	1.25.ak $\times$ 1.25.ad
2.25.an_do	$2$	$\F_{5^{2}}$	$5$	$( 1 - 7 x + 25 x^{2} )( 1 - 6 x + 25 x^{2} )$	$2$	$0$	$13$	$380$	1.25.ah $\times$ 1.25.ag
2.25.al_dc	$2$	$\F_{5^{2}}$	$5$	$( 1 - 6 x + 25 x^{2} )( 1 - 5 x + 25 x^{2} )$	$1$	$1$	$15$	$420$	1.25.ag $\times$ 1.25.af
2.25.aj_bo	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 + x + 25 x^{2} )$	$1$	$1$	$17$	$432$	1.25.ak $\times$ 1.25.b
2.25.aj_cs	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x + 25 x^{2} )( 1 - 4 x + 25 x^{2} )$	$1$	$1$	$17$	$462$	1.25.af $\times$ 1.25.ae
2.25.ah_u	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 + 3 x + 25 x^{2} )$	$1$	$1$	$19$	$464$	1.25.ak $\times$ 1.25.d
2.25.ah_ck	$2$	$\F_{5^{2}}$	$5$	$( 1 - 4 x + 25 x^{2} )( 1 - 3 x + 25 x^{2} )$	$2$	$0$	$19$	$506$	1.25.ae $\times$ 1.25.ad
2.25.ag_k	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 + 4 x + 25 x^{2} )$	$1$	$1$	$20$	$480$	1.25.ak $\times$ 1.25.e
2.25.af_a	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 + 5 x + 25 x^{2} )$	$0$	$2$	$21$	$496$	1.25.ak $\times$ 1.25.f
2.25.af_ce	$2$	$\F_{5^{2}}$	$5$	$( 1 - 3 x + 25 x^{2} )( 1 - 2 x + 25 x^{2} )$	$2$	$0$	$21$	$552$	1.25.ad $\times$ 1.25.ac
2.25.ad_au	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 + 7 x + 25 x^{2} )$	$1$	$1$	$23$	$528$	1.25.ak $\times$ 1.25.h
2.25.ad_ca	$2$	$\F_{5^{2}}$	$5$	$( 1 - 2 x + 25 x^{2} )( 1 - x + 25 x^{2} )$	$2$	$0$	$23$	$600$	1.25.ac $\times$ 1.25.ab
2.25.ab_abo	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x )^{2}( 1 + 9 x + 25 x^{2} )$	$1$	$1$	$25$	$560$	1.25.ak $\times$ 1.25.j
2.25.a_abx	$2$	$\F_{5^{2}}$	$5$	$1 - 49 x^{2} + 625 x^{4}$	$2$	$0$	$26$	$577$	simple
2.25.a_abw	$2$	$\F_{5^{2}}$	$5$	$1 - 48 x^{2} + 625 x^{4}$	$2$	$0$	$26$	$578$	simple
2.25.b_abo	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 - 9 x + 25 x^{2} )$	$1$	$1$	$27$	$612$	1.25.aj $\times$ 1.25.k
2.25.d_au	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 - 7 x + 25 x^{2} )$	$1$	$1$	$29$	$684$	1.25.ah $\times$ 1.25.k
2.25.d_ca	$2$	$\F_{5^{2}}$	$5$	$( 1 + x + 25 x^{2} )( 1 + 2 x + 25 x^{2} )$	$2$	$0$	$29$	$756$	1.25.b $\times$ 1.25.c
2.25.f_a	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 - 5 x + 25 x^{2} )$	$0$	$2$	$31$	$756$	1.25.af $\times$ 1.25.k
2.25.f_ce	$2$	$\F_{5^{2}}$	$5$	$( 1 + 2 x + 25 x^{2} )( 1 + 3 x + 25 x^{2} )$	$2$	$0$	$31$	$812$	1.25.c $\times$ 1.25.d
2.25.g_k	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 - 4 x + 25 x^{2} )$	$1$	$1$	$32$	$792$	1.25.ae $\times$ 1.25.k
2.25.h_u	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 - 3 x + 25 x^{2} )$	$1$	$1$	$33$	$828$	1.25.ad $\times$ 1.25.k
2.25.h_ck	$2$	$\F_{5^{2}}$	$5$	$( 1 + 3 x + 25 x^{2} )( 1 + 4 x + 25 x^{2} )$	$2$	$0$	$33$	$870$	1.25.d $\times$ 1.25.e
2.25.j_bo	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 - x + 25 x^{2} )$	$1$	$1$	$35$	$900$	1.25.ab $\times$ 1.25.k
2.25.j_cs	$2$	$\F_{5^{2}}$	$5$	$( 1 + 4 x + 25 x^{2} )( 1 + 5 x + 25 x^{2} )$	$1$	$1$	$35$	$930$	1.25.e $\times$ 1.25.f
2.25.l_dc	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x + 25 x^{2} )( 1 + 6 x + 25 x^{2} )$	$1$	$1$	$37$	$992$	1.25.f $\times$ 1.25.g
2.25.n_dc	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 + 3 x + 25 x^{2} )$	$1$	$1$	$39$	$1044$	1.25.d $\times$ 1.25.k
2.25.n_do	$2$	$\F_{5^{2}}$	$5$	$( 1 + 6 x + 25 x^{2} )( 1 + 7 x + 25 x^{2} )$	$2$	$0$	$39$	$1056$	1.25.g $\times$ 1.25.h
2.25.o_dm	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 + 4 x + 25 x^{2} )$	$1$	$1$	$40$	$1080$	1.25.e $\times$ 1.25.k
2.25.p_dw	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 + 5 x + 25 x^{2} )$	$0$	$2$	$41$	$1116$	1.25.f $\times$ 1.25.k
2.25.p_ec	$2$	$\F_{5^{2}}$	$5$	$( 1 + 7 x + 25 x^{2} )( 1 + 8 x + 25 x^{2} )$	$2$	$0$	$41$	$1122$	1.25.h $\times$ 1.25.i
2.25.r_eq	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 + 7 x + 25 x^{2} )$	$1$	$1$	$43$	$1188$	1.25.h $\times$ 1.25.k
2.25.r_es	$2$	$\F_{5^{2}}$	$5$	$( 1 + 8 x + 25 x^{2} )( 1 + 9 x + 25 x^{2} )$	$2$	$0$	$43$	$1190$	1.25.i $\times$ 1.25.j
2.25.s_fa	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 + 8 x + 25 x^{2} )$	$1$	$1$	$44$	$1224$	1.25.i $\times$ 1.25.k
2.25.t_fk	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x )^{2}( 1 + 9 x + 25 x^{2} )$	$1$	$1$	$45$	$1260$	1.25.j $\times$ 1.25.k