Abelian variety search results

Results (1-50 of 103 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.49.abc_li	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{4}$	$0$	$2$	$22$	$1296$	1.49.ao^2
2.49.aba_kh	$2$	$\F_{7^{2}}$	$7$	$( 1 - 13 x + 49 x^{2} )^{2}$	$2$	$0$	$24$	$1369$	1.49.an^2
2.49.ay_ji	$2$	$\F_{7^{2}}$	$7$	$( 1 - 12 x + 49 x^{2} )^{2}$	$2$	$0$	$26$	$1444$	1.49.am^2
2.49.aw_il	$2$	$\F_{7^{2}}$	$7$	$( 1 - 11 x + 49 x^{2} )^{2}$	$2$	$0$	$28$	$1521$	1.49.al^2
2.49.au_hq	$2$	$\F_{7^{2}}$	$7$	$( 1 - 10 x + 49 x^{2} )^{2}$	$2$	$0$	$30$	$1600$	1.49.ak^2
2.49.as_gx	$2$	$\F_{7^{2}}$	$7$	$( 1 - 9 x + 49 x^{2} )^{2}$	$2$	$0$	$32$	$1681$	1.49.aj^2
2.49.ar_fs	$2$	$\F_{7^{2}}$	$7$	$1 - 17 x + 148 x^{2} - 833 x^{3} + 2401 x^{4}$	$2$	$0$	$33$	$1700$	simple
2.49.aq_gg	$2$	$\F_{7^{2}}$	$7$	$( 1 - 8 x + 49 x^{2} )^{2}$	$2$	$0$	$34$	$1764$	1.49.ai^2
2.49.ap_fd	$2$	$\F_{7^{2}}$	$7$	$1 - 15 x + 133 x^{2} - 735 x^{3} + 2401 x^{4}$	$1$	$1$	$35$	$1785$	simple
2.49.ao_fr	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x + 49 x^{2} )^{2}$	$0$	$2$	$36$	$1849$	simple
2.49.an_eq	$2$	$\F_{7^{2}}$	$7$	$( 1 - 11 x + 49 x^{2} )( 1 - 2 x + 49 x^{2} )$	$2$	$0$	$37$	$1872$	1.49.al $\times$ 1.49.ac
2.49.am_fe	$2$	$\F_{7^{2}}$	$7$	$( 1 - 6 x + 49 x^{2} )^{2}$	$2$	$0$	$38$	$1936$	1.49.ag^2
2.49.al_ef	$2$	$\F_{7^{2}}$	$7$	$1 - 11 x + 109 x^{2} - 539 x^{3} + 2401 x^{4}$	$2$	$0$	$39$	$1961$	simple
2.49.ak_bz	$2$	$\F_{7^{2}}$	$7$	$1 - 10 x + 51 x^{2} - 490 x^{3} + 2401 x^{4}$	$2$	$0$	$40$	$1953$	simple
2.49.ak_et	$2$	$\F_{7^{2}}$	$7$	$( 1 - 5 x + 49 x^{2} )^{2}$	$2$	$0$	$40$	$2025$	1.49.af^2
2.49.aj_dw	$2$	$\F_{7^{2}}$	$7$	$1 - 9 x + 100 x^{2} - 441 x^{3} + 2401 x^{4}$	$2$	$0$	$41$	$2052$	simple
2.49.ai_bu	$2$	$\F_{7^{2}}$	$7$	$1 - 8 x + 46 x^{2} - 392 x^{3} + 2401 x^{4}$	$2$	$0$	$42$	$2048$	simple
2.49.ai_ek	$2$	$\F_{7^{2}}$	$7$	$( 1 - 4 x + 49 x^{2} )^{2}$	$2$	$0$	$42$	$2116$	1.49.ae^2
2.49.ah_dp	$2$	$\F_{7^{2}}$	$7$	$1 - 7 x + 93 x^{2} - 343 x^{3} + 2401 x^{4}$	$2$	$0$	$43$	$2145$	simple
2.49.ag_br	$2$	$\F_{7^{2}}$	$7$	$( 1 - 11 x + 49 x^{2} )( 1 + 5 x + 49 x^{2} )$	$2$	$0$	$44$	$2145$	1.49.al $\times$ 1.49.f
2.49.ag_ed	$2$	$\F_{7^{2}}$	$7$	$( 1 - 3 x + 49 x^{2} )^{2}$	$2$	$0$	$44$	$2209$	1.49.ad^2
2.49.af_ay	$2$	$\F_{7^{2}}$	$7$	$1 - 5 x - 24 x^{2} - 245 x^{3} + 2401 x^{4}$	$2$	$0$	$45$	$2128$	simple
2.49.af_dk	$2$	$\F_{7^{2}}$	$7$	$1 - 5 x + 88 x^{2} - 245 x^{3} + 2401 x^{4}$	$2$	$0$	$45$	$2240$	simple
2.49.ae_bq	$2$	$\F_{7^{2}}$	$7$	$1 - 4 x + 42 x^{2} - 196 x^{3} + 2401 x^{4}$	$1$	$1$	$46$	$2244$	simple
2.49.ae_dy	$2$	$\F_{7^{2}}$	$7$	$( 1 - 2 x + 49 x^{2} )^{2}$	$2$	$0$	$46$	$2304$	1.49.ac^2
2.49.ad_at	$2$	$\F_{7^{2}}$	$7$	$1 - 3 x - 19 x^{2} - 147 x^{3} + 2401 x^{4}$	$2$	$0$	$47$	$2233$	simple
2.49.ad_dh	$2$	$\F_{7^{2}}$	$7$	$1 - 3 x + 85 x^{2} - 147 x^{3} + 2401 x^{4}$	$2$	$0$	$47$	$2337$	simple
2.49.ac_br	$2$	$\F_{7^{2}}$	$7$	$1 - 2 x + 43 x^{2} - 98 x^{3} + 2401 x^{4}$	$2$	$0$	$48$	$2345$	simple
2.49.ac_dv	$2$	$\F_{7^{2}}$	$7$	$( 1 - x + 49 x^{2} )^{2}$	$2$	$0$	$48$	$2401$	1.49.ab^2
2.49.ab_am	$2$	$\F_{7^{2}}$	$7$	$( 1 - 11 x + 49 x^{2} )( 1 + 10 x + 49 x^{2} )$	$2$	$0$	$49$	$2340$	1.49.al $\times$ 1.49.k
2.49.ab_dg	$2$	$\F_{7^{2}}$	$7$	$1 - x + 84 x^{2} - 49 x^{3} + 2401 x^{4}$	$1$	$1$	$49$	$2436$	simple
2.49.a_ade	$2$	$\F_{7^{2}}$	$7$	$1 - 82 x^{2} + 2401 x^{4}$	$2$	$0$	$50$	$2320$	simple
2.49.a_ack	$2$	$\F_{7^{2}}$	$7$	$1 - 62 x^{2} + 2401 x^{4}$	$2$	$0$	$50$	$2340$	simple
2.49.a_bu	$2$	$\F_{7^{2}}$	$7$	$1 + 46 x^{2} + 2401 x^{4}$	$2$	$0$	$50$	$2448$	simple
2.49.a_du	$2$	$\F_{7^{2}}$	$7$	$( 1 + 49 x^{2} )^{2}$	$0$	$2$	$50$	$2500$	1.49.a^2
2.49.b_adf	$2$	$\F_{7^{2}}$	$7$	$1 + x - 83 x^{2} + 49 x^{3} + 2401 x^{4}$	$2$	$0$	$51$	$2369$	simple
2.49.b_ad	$2$	$\F_{7^{2}}$	$7$	$1 + x - 3 x^{2} + 49 x^{3} + 2401 x^{4}$	$2$	$0$	$51$	$2449$	simple
2.49.b_bl	$2$	$\F_{7^{2}}$	$7$	$1 + x + 37 x^{2} + 49 x^{3} + 2401 x^{4}$	$2$	$0$	$51$	$2489$	simple
2.49.b_dh	$2$	$\F_{7^{2}}$	$7$	$1 + x + 85 x^{2} + 49 x^{3} + 2401 x^{4}$	$2$	$0$	$51$	$2537$	simple
2.49.c_abt	$2$	$\F_{7^{2}}$	$7$	$( 1 - 11 x + 49 x^{2} )( 1 + 13 x + 49 x^{2} )$	$2$	$0$	$52$	$2457$	1.49.al $\times$ 1.49.n
2.49.c_bz	$2$	$\F_{7^{2}}$	$7$	$1 + 2 x + 51 x^{2} + 98 x^{3} + 2401 x^{4}$	$2$	$0$	$52$	$2553$	simple
2.49.c_dv	$2$	$\F_{7^{2}}$	$7$	$( 1 + x + 49 x^{2} )^{2}$	$2$	$0$	$52$	$2601$	1.49.b^2
2.49.d_ace	$2$	$\F_{7^{2}}$	$7$	$( 1 + 7 x )^{2}( 1 - 11 x + 49 x^{2} )$	$1$	$1$	$53$	$2496$	1.49.al $\times$ 1.49.o
2.49.d_i	$2$	$\F_{7^{2}}$	$7$	$1 + 3 x + 8 x^{2} + 147 x^{3} + 2401 x^{4}$	$2$	$0$	$53$	$2560$	simple
2.49.d_dk	$2$	$\F_{7^{2}}$	$7$	$( 1 - 2 x + 49 x^{2} )( 1 + 5 x + 49 x^{2} )$	$2$	$0$	$53$	$2640$	1.49.ac $\times$ 1.49.f
2.49.e_aba	$2$	$\F_{7^{2}}$	$7$	$1 + 4 x - 26 x^{2} + 196 x^{3} + 2401 x^{4}$	$2$	$0$	$54$	$2576$	simple
2.49.e_ag	$2$	$\F_{7^{2}}$	$7$	$1 + 4 x - 6 x^{2} + 196 x^{3} + 2401 x^{4}$	$2$	$0$	$54$	$2596$	simple
2.49.e_cg	$2$	$\F_{7^{2}}$	$7$	$1 + 4 x + 58 x^{2} + 196 x^{3} + 2401 x^{4}$	$2$	$0$	$54$	$2660$	simple
2.49.e_dy	$2$	$\F_{7^{2}}$	$7$	$( 1 + 2 x + 49 x^{2} )^{2}$	$2$	$0$	$54$	$2704$	1.49.c^2
2.49.f_abb	$2$	$\F_{7^{2}}$	$7$	$1 + 5 x - 27 x^{2} + 245 x^{3} + 2401 x^{4}$	$2$	$0$	$55$	$2625$	simple