Abelian variety search results

Results (17 matches)

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Label	Dimension	Base field	Base char.	Simple	Geom. simple	Primitive	Ordinary	Almost ordinary	Supersingular	Princ. polarizable	Jacobian	L-polynomial	Newton slopes	Newton elevation	$p$-rank	$p$-corank	Angle rank	Angle corank	$\mathbb{F}_q$ points on curve	$\mathbb{F}_{q^k}$ points on curve	$\mathbb{F}_q$ points on variety	$\mathbb{F}_{q^k}$ points on variety	Jacobians	Hyperelliptic Jacobians	Num. twists	Max. twist degree	End. degree	Number fields	Galois groups	Isogeny factors
1.17.ai	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - 8 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$10$	$[10, 260, 4810, 83200, 1419050, 24136580, 410344490, 6975820800, 118588284490, 2015996087300]$	$10$	$[10, 260, 4810, 83200, 1419050, 24136580, 410344490, 6975820800, 118588284490, 2015996087300]$	$1$	$0$	$4$	$4$	$1$	\(\Q(\sqrt{-1}) \)	$C_2$	simple
1.17.ah	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - 7 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$11$	$[11, 275, 4928, 83875, 1422091, 24147200, 410368123, 6975799875, 118587672896, 2015991753875]$	$11$	$[11, 275, 4928, 83875, 1422091, 24147200, 410368123, 6975799875, 118587672896, 2015991753875]$	$1$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-19}) \)	$C_2$	simple
1.17.ag	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - 6 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$12$	$[12, 288, 5004, 84096, 1421772, 24139296, 410316492, 6975595008, 118587278988, 2015993076768]$	$12$	$[12, 288, 5004, 84096, 1421772, 24139296, 410316492, 6975595008, 118587278988, 2015993076768]$	$3$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-2}) \)	$C_2$	simple
1.17.af	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - 5 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$13$	$[13, 299, 5044, 84019, 1420133, 24130496, 410298629, 6975677475, 118588157428, 2015996664539]$	$13$	$[13, 299, 5044, 84019, 1420133, 24130496, 410298629, 6975677475, 118588157428, 2015996664539]$	$1$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-43}) \)	$C_2$	simple
1.17.ae	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - 4 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$14$	$[14, 308, 5054, 83776, 1418494, 24127796, 410322766, 6975859968, 118588557038, 2015994879668]$	$14$	$[14, 308, 5054, 83776, 1418494, 24127796, 410322766, 6975859968, 118588557038, 2015994879668]$	$2$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-13}) \)	$C_2$	simple
1.17.ad	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - 3 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$15$	$[15, 315, 5040, 83475, 1417575, 24131520, 410359335, 6975922275, 118588019760, 2015991528075]$	$15$	$[15, 315, 5040, 83475, 1417575, 24131520, 410359335, 6975922275, 118588019760, 2015991528075]$	$3$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-59}) \)	$C_2$	simple
1.17.ac	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - 2 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$16$	$[16, 320, 5008, 83200, 1417616, 24138560, 410378768, 6975820800, 118587321616, 2015991713600]$	$16$	$[16, 320, 5008, 83200, 1417616, 24138560, 410378768, 6975820800, 118587321616, 2015991713600]$	$4$	$0$	$4$	$4$	$1$	\(\Q(\sqrt{-1}) \)	$C_2$	simple
1.17.ab	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 - x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$17$	$[17, 323, 4964, 83011, 1418497, 24144896, 410369137, 6975663363, 118587264548, 2015994887843]$	$17$	$[17, 323, 4964, 83011, 1418497, 24144896, 410369137, 6975663363, 118587264548, 2015994887843]$	$1$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-67}) \)	$C_2$	simple
1.17.a	$1$	$\F_{17}$	$17$	✓	✓	✓		✓	✓	✓	✓	$1 + 17 x^{2}$	$[\frac{1}{2},\frac{1}{2}]$	$1$	$0$	$1$	$0$	$1$	$18$	$[18, 324, 4914, 82944, 1419858, 24147396, 410338674, 6975590400, 118587876498, 2015996740164]$	$18$	$[18, 324, 4914, 82944, 1419858, 24147396, 410338674, 6975590400, 118587876498, 2015996740164]$	$4$	$0$	$1$	$1$	$2$	\(\Q(\sqrt{-17}) \)	$C_2$	simple
1.17.b	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$19$	$[19, 323, 4864, 83011, 1421219, 24144896, 410308211, 6975663363, 118588488448, 2015994887843]$	$19$	$[19, 323, 4864, 83011, 1421219, 24144896, 410308211, 6975663363, 118588488448, 2015994887843]$	$1$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-67}) \)	$C_2$	simple
1.17.c	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + 2 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$20$	$[20, 320, 4820, 83200, 1422100, 24138560, 410298580, 6975820800, 118588431380, 2015991713600]$	$20$	$[20, 320, 4820, 83200, 1422100, 24138560, 410298580, 6975820800, 118588431380, 2015991713600]$	$4$	$0$	$4$	$4$	$1$	\(\Q(\sqrt{-1}) \)	$C_2$	simple
1.17.d	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + 3 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$21$	$[21, 315, 4788, 83475, 1422141, 24131520, 410318013, 6975922275, 118587733236, 2015991528075]$	$21$	$[21, 315, 4788, 83475, 1422141, 24131520, 410318013, 6975922275, 118587733236, 2015991528075]$	$3$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-59}) \)	$C_2$	simple
1.17.e	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + 4 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$22$	$[22, 308, 4774, 83776, 1421222, 24127796, 410354582, 6975859968, 118587195958, 2015994879668]$	$22$	$[22, 308, 4774, 83776, 1421222, 24127796, 410354582, 6975859968, 118587195958, 2015994879668]$	$2$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-13}) \)	$C_2$	simple
1.17.f	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + 5 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$23$	$[23, 299, 4784, 84019, 1419583, 24130496, 410378719, 6975677475, 118587595568, 2015996664539]$	$23$	$[23, 299, 4784, 84019, 1419583, 24130496, 410378719, 6975677475, 118587595568, 2015996664539]$	$1$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-43}) \)	$C_2$	simple
1.17.g	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + 6 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$24$	$[24, 288, 4824, 84096, 1417944, 24139296, 410360856, 6975595008, 118588474008, 2015993076768]$	$24$	$[24, 288, 4824, 84096, 1417944, 24139296, 410360856, 6975595008, 118588474008, 2015993076768]$	$3$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-2}) \)	$C_2$	simple
1.17.h	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + 7 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$25$	$[25, 275, 4900, 83875, 1417625, 24147200, 410309225, 6975799875, 118588080100, 2015991753875]$	$25$	$[25, 275, 4900, 83875, 1417625, 24147200, 410309225, 6975799875, 118588080100, 2015991753875]$	$1$	$0$	$2$	$2$	$1$	\(\Q(\sqrt{-19}) \)	$C_2$	simple
1.17.i	$1$	$\F_{17}$	$17$	✓	✓	✓	✓			✓	✓	$1 + 8 x + 17 x^{2}$	$[0,1]$	$0$	$1$	$0$	$1$	$0$	$26$	$[26, 260, 5018, 83200, 1420666, 24136580, 410332858, 6975820800, 118587468506, 2015996087300]$	$26$	$[26, 260, 5018, 83200, 1420666, 24136580, 410332858, 6975820800, 118587468506, 2015996087300]$	$1$	$0$	$4$	$4$	$1$	\(\Q(\sqrt{-1}) \)	$C_2$	simple

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