Abelian variety search results

Results (1-50 of 3399 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.49.abb_ku	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{2}( 1 - 13 x + 49 x^{2} )$	$1$	$1$	$23$	$1332$	1.49.ao $\times$ 1.49.an
2.49.aba_kg	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{2}( 1 - 12 x + 49 x^{2} )$	$1$	$1$	$24$	$1368$	1.49.ao $\times$ 1.49.am
2.49.az_js	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{2}( 1 - 11 x + 49 x^{2} )$	$1$	$1$	$25$	$1404$	1.49.ao $\times$ 1.49.al
2.49.az_jt	$2$	$\F_{7^{2}}$	$7$	$1 - 25 x + 253 x^{2} - 1225 x^{3} + 2401 x^{4}$	$2$	$0$	$25$	$1405$	simple
2.49.az_ju	$2$	$\F_{7^{2}}$	$7$	$( 1 - 13 x + 49 x^{2} )( 1 - 12 x + 49 x^{2} )$	$2$	$0$	$25$	$1406$	1.49.an $\times$ 1.49.am
2.49.ay_je	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{2}( 1 - 10 x + 49 x^{2} )$	$1$	$1$	$26$	$1440$	1.49.ao $\times$ 1.49.ak
2.49.ay_jf	$2$	$\F_{7^{2}}$	$7$	$1 - 24 x + 239 x^{2} - 1176 x^{3} + 2401 x^{4}$	$2$	$0$	$26$	$1441$	simple
2.49.ay_jg	$2$	$\F_{7^{2}}$	$7$	$1 - 24 x + 240 x^{2} - 1176 x^{3} + 2401 x^{4}$	$2$	$0$	$26$	$1442$	simple
2.49.ay_jh	$2$	$\F_{7^{2}}$	$7$	$( 1 - 13 x + 49 x^{2} )( 1 - 11 x + 49 x^{2} )$	$2$	$0$	$26$	$1443$	1.49.an $\times$ 1.49.al
2.49.ax_iq	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{2}( 1 - 9 x + 49 x^{2} )$	$1$	$1$	$27$	$1476$	1.49.ao $\times$ 1.49.aj
2.49.ax_ir	$2$	$\F_{7^{2}}$	$7$	$1 - 23 x + 225 x^{2} - 1127 x^{3} + 2401 x^{4}$	$2$	$0$	$27$	$1477$	simple
2.49.ax_is	$2$	$\F_{7^{2}}$	$7$	$1 - 23 x + 226 x^{2} - 1127 x^{3} + 2401 x^{4}$	$2$	$0$	$27$	$1478$	simple
2.49.ax_it	$2$	$\F_{7^{2}}$	$7$	$1 - 23 x + 227 x^{2} - 1127 x^{3} + 2401 x^{4}$	$2$	$0$	$27$	$1479$	simple
2.49.ax_iu	$2$	$\F_{7^{2}}$	$7$	$( 1 - 13 x + 49 x^{2} )( 1 - 10 x + 49 x^{2} )$	$2$	$0$	$27$	$1480$	1.49.an $\times$ 1.49.ak
2.49.ax_iv	$2$	$\F_{7^{2}}$	$7$	$1 - 23 x + 229 x^{2} - 1127 x^{3} + 2401 x^{4}$	$2$	$0$	$27$	$1481$	simple
2.49.ax_iw	$2$	$\F_{7^{2}}$	$7$	$( 1 - 12 x + 49 x^{2} )( 1 - 11 x + 49 x^{2} )$	$2$	$0$	$27$	$1482$	1.49.am $\times$ 1.49.al
2.49.aw_ic	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{2}( 1 - 8 x + 49 x^{2} )$	$1$	$1$	$28$	$1512$	1.49.ao $\times$ 1.49.ai
2.49.aw_id	$2$	$\F_{7^{2}}$	$7$	$1 - 22 x + 211 x^{2} - 1078 x^{3} + 2401 x^{4}$	$2$	$0$	$28$	$1513$	simple
2.49.aw_ie	$2$	$\F_{7^{2}}$	$7$	$1 - 22 x + 212 x^{2} - 1078 x^{3} + 2401 x^{4}$	$2$	$0$	$28$	$1514$	simple
2.49.aw_if	$2$	$\F_{7^{2}}$	$7$	$1 - 22 x + 213 x^{2} - 1078 x^{3} + 2401 x^{4}$	$2$	$0$	$28$	$1515$	simple
2.49.aw_ig	$2$	$\F_{7^{2}}$	$7$	$1 - 22 x + 214 x^{2} - 1078 x^{3} + 2401 x^{4}$	$2$	$0$	$28$	$1516$	simple
2.49.aw_ih	$2$	$\F_{7^{2}}$	$7$	$( 1 - 13 x + 49 x^{2} )( 1 - 9 x + 49 x^{2} )$	$2$	$0$	$28$	$1517$	1.49.an $\times$ 1.49.aj
2.49.aw_ii	$2$	$\F_{7^{2}}$	$7$	$1 - 22 x + 216 x^{2} - 1078 x^{3} + 2401 x^{4}$	$2$	$0$	$28$	$1518$	simple
2.49.aw_ij	$2$	$\F_{7^{2}}$	$7$	$1 - 22 x + 217 x^{2} - 1078 x^{3} + 2401 x^{4}$	$1$	$1$	$28$	$1519$	simple
2.49.aw_ik	$2$	$\F_{7^{2}}$	$7$	$( 1 - 12 x + 49 x^{2} )( 1 - 10 x + 49 x^{2} )$	$2$	$0$	$28$	$1520$	1.49.am $\times$ 1.49.ak
2.49.av_hp	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 197 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1549$	simple
2.49.av_hq	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 198 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1550$	simple
2.49.av_hr	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 199 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1551$	simple
2.49.av_hs	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 200 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1552$	simple
2.49.av_ht	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 201 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1553$	simple
2.49.av_hu	$2$	$\F_{7^{2}}$	$7$	$( 1 - 13 x + 49 x^{2} )( 1 - 8 x + 49 x^{2} )$	$2$	$0$	$29$	$1554$	1.49.an $\times$ 1.49.ai
2.49.av_hw	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 204 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1556$	simple
2.49.av_hx	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 205 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1557$	simple
2.49.av_hy	$2$	$\F_{7^{2}}$	$7$	$( 1 - 12 x + 49 x^{2} )( 1 - 9 x + 49 x^{2} )$	$2$	$0$	$29$	$1558$	1.49.am $\times$ 1.49.aj
2.49.av_hz	$2$	$\F_{7^{2}}$	$7$	$1 - 21 x + 207 x^{2} - 1029 x^{3} + 2401 x^{4}$	$2$	$0$	$29$	$1559$	simple
2.49.av_ia	$2$	$\F_{7^{2}}$	$7$	$( 1 - 11 x + 49 x^{2} )( 1 - 10 x + 49 x^{2} )$	$2$	$0$	$29$	$1560$	1.49.al $\times$ 1.49.ak
2.49.au_ha	$2$	$\F_{7^{2}}$	$7$	$( 1 - 7 x )^{2}( 1 - 6 x + 49 x^{2} )$	$1$	$1$	$30$	$1584$	1.49.ao $\times$ 1.49.ag
2.49.au_hb	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 183 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1585$	simple
2.49.au_hc	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 184 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1586$	simple
2.49.au_hd	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 185 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1587$	simple
2.49.au_he	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 186 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1588$	simple
2.49.au_hf	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 187 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1589$	simple
2.49.au_hg	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 188 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1590$	simple
2.49.au_hi	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 190 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1592$	simple
2.49.au_hj	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 191 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1593$	simple
2.49.au_hk	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 192 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1594$	simple
2.49.au_hl	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 193 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1595$	simple
2.49.au_hm	$2$	$\F_{7^{2}}$	$7$	$( 1 - 12 x + 49 x^{2} )( 1 - 8 x + 49 x^{2} )$	$2$	$0$	$30$	$1596$	1.49.am $\times$ 1.49.ai
2.49.au_hn	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 195 x^{2} - 980 x^{3} + 2401 x^{4}$	$2$	$0$	$30$	$1597$	simple
2.49.au_ho	$2$	$\F_{7^{2}}$	$7$	$1 - 20 x + 196 x^{2} - 980 x^{3} + 2401 x^{4}$	$1$	$1$	$30$	$1598$	simple