Abelian variety search results

Results (1-50 of 1075 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.4.ag_q	$2$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )$	$0$	$2$	$-1$	$3$	1.4.ae $\times$ 1.4.ac
2.4.ae_m	$2$	$\F_{2^{2}}$	$2$	$( 1 - 2 x + 4 x^{2} )^{2}$	$0$	$2$	$1$	$9$	1.4.ac^2
2.4.ac_a	$2$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 + 2 x + 4 x^{2} )$	$0$	$2$	$3$	$7$	1.4.ae $\times$ 1.4.c
2.4.a_e	$2$	$\F_{2^{2}}$	$2$	$( 1 - 2 x + 4 x^{2} )( 1 + 2 x + 4 x^{2} )$	$0$	$2$	$5$	$21$	1.4.ac $\times$ 1.4.c
2.4.c_a	$2$	$\F_{2^{2}}$	$2$	$( 1 + 2 x )^{2}( 1 - 2 x + 4 x^{2} )$	$0$	$2$	$7$	$27$	1.4.ac $\times$ 1.4.e
2.4.e_m	$2$	$\F_{2^{2}}$	$2$	$( 1 + 2 x + 4 x^{2} )^{2}$	$0$	$2$	$9$	$49$	1.4.c^2
2.4.g_q	$2$	$\F_{2^{2}}$	$2$	$( 1 + 2 x )^{2}( 1 + 2 x + 4 x^{2} )$	$0$	$2$	$11$	$63$	1.4.c $\times$ 1.4.e
2.5.a_f	$2$	$\F_{5}$	$5$	$1 + 5 x^{2} + 25 x^{4}$	$0$	$2$	$6$	$31$	simple
2.9.aj_bk	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 3 x + 9 x^{2} )$	$0$	$2$	$1$	$28$	1.9.ag $\times$ 1.9.ad
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.ad_a	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 + 3 x + 9 x^{2} )$	$0$	$2$	$7$	$52$	1.9.ag $\times$ 1.9.d
2.9.a_j	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 + 3 x + 9 x^{2} )$	$0$	$2$	$10$	$91$	1.9.ad $\times$ 1.9.d
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.g_bb	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x + 9 x^{2} )^{2}$	$0$	$2$	$16$	$169$	1.9.d^2
2.9.j_bk	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + 3 x + 9 x^{2} )$	$0$	$2$	$19$	$208$	1.9.d $\times$ 1.9.g
2.16.am_cm	$2$	$\F_{2^{4}}$	$2$	$( 1 - 4 x )^{2}( 1 - 4 x + 16 x^{2} )$	$0$	$2$	$5$	$117$	1.16.ai $\times$ 1.16.ae
2.16.ai_bw	$2$	$\F_{2^{4}}$	$2$	$( 1 - 4 x + 16 x^{2} )^{2}$	$0$	$2$	$9$	$169$	1.16.ae^2
2.16.ae_a	$2$	$\F_{2^{4}}$	$2$	$( 1 - 4 x )^{2}( 1 + 4 x + 16 x^{2} )$	$0$	$2$	$13$	$189$	1.16.ai $\times$ 1.16.e
2.16.a_q	$2$	$\F_{2^{4}}$	$2$	$( 1 - 4 x + 16 x^{2} )( 1 + 4 x + 16 x^{2} )$	$0$	$2$	$17$	$273$	1.16.ae $\times$ 1.16.e
2.16.e_a	$2$	$\F_{2^{4}}$	$2$	$( 1 + 4 x )^{2}( 1 - 4 x + 16 x^{2} )$	$0$	$2$	$21$	$325$	1.16.ae $\times$ 1.16.i
2.16.i_bw	$2$	$\F_{2^{4}}$	$2$	$( 1 + 4 x + 16 x^{2} )^{2}$	$0$	$2$	$25$	$441$	1.16.e^2
2.16.m_cm	$2$	$\F_{2^{4}}$	$2$	$( 1 + 4 x )^{2}( 1 + 4 x + 16 x^{2} )$	$0$	$2$	$29$	$525$	1.16.e $\times$ 1.16.i
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.ak_cx	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x + 25 x^{2} )^{2}$	$0$	$2$	$16$	$441$	1.25.af^2
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.a_z	$2$	$\F_{5^{2}}$	$5$	$( 1 - 5 x + 25 x^{2} )( 1 + 5 x + 25 x^{2} )$	$0$	$2$	$26$	$651$	1.25.af $\times$ 1.25.f
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.k_cx	$2$	$\F_{5^{2}}$	$5$	$( 1 + 5 x + 25 x^{2} )^{2}$	$0$	$2$	$36$	$961$	1.25.f^2
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
2.49.ao_fr	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x + 49 x^{2} )^{2}$	$0$	$2$	$36$	$1849$	simple
2.49.o_fr	$2$	$\F_{7^{2}}$	$7$	$( 1 + 7 x + 49 x^{2} )^{2}$	$0$	$2$	$64$	$3249$	simple
2.64.ay_jw	$2$	$\F_{2^{6}}$	$2$	$( 1 - 8 x )^{2}( 1 - 8 x + 64 x^{2} )$	$0$	$2$	$41$	$2793$	1.64.aq $\times$ 1.64.ai
2.64.aq_hk	$2$	$\F_{2^{6}}$	$2$	$( 1 - 8 x + 64 x^{2} )^{2}$	$0$	$2$	$49$	$3249$	1.64.ai^2
2.64.ai_a	$2$	$\F_{2^{6}}$	$2$	$( 1 - 8 x )^{2}( 1 + 8 x + 64 x^{2} )$	$0$	$2$	$57$	$3577$	1.64.aq $\times$ 1.64.i
2.64.a_cm	$2$	$\F_{2^{6}}$	$2$	$( 1 - 8 x + 64 x^{2} )( 1 + 8 x + 64 x^{2} )$	$0$	$2$	$65$	$4161$	1.64.ai $\times$ 1.64.i
2.64.i_a	$2$	$\F_{2^{6}}$	$2$	$( 1 + 8 x )^{2}( 1 - 8 x + 64 x^{2} )$	$0$	$2$	$73$	$4617$	1.64.ai $\times$ 1.64.q
2.64.q_hk	$2$	$\F_{2^{6}}$	$2$	$( 1 + 8 x + 64 x^{2} )^{2}$	$0$	$2$	$81$	$5329$	1.64.i^2
2.64.y_jw	$2$	$\F_{2^{6}}$	$2$	$( 1 + 8 x )^{2}( 1 + 8 x + 64 x^{2} )$	$0$	$2$	$89$	$5913$	1.64.i $\times$ 1.64.q
2.81.abb_mm	$2$	$\F_{3^{4}}$	$3$	$( 1 - 9 x )^{2}( 1 - 9 x + 81 x^{2} )$	$0$	$2$	$55$	$4672$	1.81.as $\times$ 1.81.aj
2.81.as_jj	$2$	$\F_{3^{4}}$	$3$	$( 1 - 9 x + 81 x^{2} )^{2}$	$0$	$2$	$64$	$5329$	1.81.aj^2
2.81.aj_a	$2$	$\F_{3^{4}}$	$3$	$( 1 - 9 x )^{2}( 1 + 9 x + 81 x^{2} )$	$0$	$2$	$73$	$5824$	1.81.as $\times$ 1.81.j
2.81.a_dd	$2$	$\F_{3^{4}}$	$3$	$( 1 - 9 x + 81 x^{2} )( 1 + 9 x + 81 x^{2} )$	$0$	$2$	$82$	$6643$	1.81.aj $\times$ 1.81.j
2.81.j_a	$2$	$\F_{3^{4}}$	$3$	$( 1 + 9 x )^{2}( 1 - 9 x + 81 x^{2} )$	$0$	$2$	$91$	$7300$	1.81.aj $\times$ 1.81.s
2.81.s_jj	$2$	$\F_{3^{4}}$	$3$	$( 1 + 9 x + 81 x^{2} )^{2}$	$0$	$2$	$100$	$8281$	1.81.j^2
2.81.bb_mm	$2$	$\F_{3^{4}}$	$3$	$( 1 + 9 x )^{2}( 1 + 9 x + 81 x^{2} )$	$0$	$2$	$109$	$9100$	1.81.j $\times$ 1.81.s
2.169.aba_tn	$2$	$\F_{13^{2}}$	$13$	$( 1 - 13 x + 169 x^{2} )^{2}$	$0$	$2$	$144$	$24649$	simple
2.169.ba_tn	$2$	$\F_{13^{2}}$	$13$	$( 1 + 13 x + 169 x^{2} )^{2}$	$0$	$2$	$196$	$33489$	simple
2.256.abw_bnk	$2$	$\F_{2^{8}}$	$2$	$( 1 - 16 x )^{2}( 1 - 16 x + 256 x^{2} )$	$0$	$2$	$209$	$54225$	1.256.abg $\times$ 1.256.aq
2.256.abg_bdo	$2$	$\F_{2^{8}}$	$2$	$( 1 - 16 x + 256 x^{2} )^{2}$	$0$	$2$	$225$	$58081$	1.256.aq^2
2.256.aq_a	$2$	$\F_{2^{8}}$	$2$	$( 1 - 16 x )^{2}( 1 + 16 x + 256 x^{2} )$	$0$	$2$	$241$	$61425$	1.256.abg $\times$ 1.256.q