LMFDB - Abelian variety search results

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Base field	Base char.	Dimension	$p$-rank	Initial coefficients

Simple	Geom. simple	Primitive	Princ. polarizable	Jacobian

Slopes	Points on variety	Points on curve	Simple factors

Angle rank	# Jacobians	# Hyp. Jacobians	# twists	Max twist degree

End. degree	$p$-rank deficit	(Geom.) Sq.free

Use Geometric decomposition in the following inputs
Dim 1 factors	Dim 2 factors	Dim 3 factors	Dim 4 factors	Dim 5 factors

(distinct)	(distinct)	(distinct)	Number field	Galois group

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Results (1-50 of 51 matches)

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Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
1.163.az	$1$	$\F_{163}$	$163$	$1 - 25 x + 163 x^{2}$	$1$	$0$	$139$	$139$	simple
1.163.ay	$1$	$\F_{163}$	$163$	$1 - 24 x + 163 x^{2}$	$1$	$0$	$140$	$140$	simple
1.163.ax	$1$	$\F_{163}$	$163$	$1 - 23 x + 163 x^{2}$	$1$	$0$	$141$	$141$	simple
1.163.aw	$1$	$\F_{163}$	$163$	$1 - 22 x + 163 x^{2}$	$1$	$0$	$142$	$142$	simple
1.163.av	$1$	$\F_{163}$	$163$	$1 - 21 x + 163 x^{2}$	$1$	$0$	$143$	$143$	simple
1.163.au	$1$	$\F_{163}$	$163$	$1 - 20 x + 163 x^{2}$	$1$	$0$	$144$	$144$	simple
1.163.at	$1$	$\F_{163}$	$163$	$1 - 19 x + 163 x^{2}$	$1$	$0$	$145$	$145$	simple
1.163.as	$1$	$\F_{163}$	$163$	$1 - 18 x + 163 x^{2}$	$1$	$0$	$146$	$146$	simple
1.163.ar	$1$	$\F_{163}$	$163$	$1 - 17 x + 163 x^{2}$	$1$	$0$	$147$	$147$	simple
1.163.aq	$1$	$\F_{163}$	$163$	$1 - 16 x + 163 x^{2}$	$1$	$0$	$148$	$148$	simple
1.163.ap	$1$	$\F_{163}$	$163$	$1 - 15 x + 163 x^{2}$	$1$	$0$	$149$	$149$	simple
1.163.ao	$1$	$\F_{163}$	$163$	$1 - 14 x + 163 x^{2}$	$1$	$0$	$150$	$150$	simple
1.163.an	$1$	$\F_{163}$	$163$	$1 - 13 x + 163 x^{2}$	$1$	$0$	$151$	$151$	simple
1.163.am	$1$	$\F_{163}$	$163$	$1 - 12 x + 163 x^{2}$	$1$	$0$	$152$	$152$	simple
1.163.al	$1$	$\F_{163}$	$163$	$1 - 11 x + 163 x^{2}$	$1$	$0$	$153$	$153$	simple
1.163.ak	$1$	$\F_{163}$	$163$	$1 - 10 x + 163 x^{2}$	$1$	$0$	$154$	$154$	simple
1.163.aj	$1$	$\F_{163}$	$163$	$1 - 9 x + 163 x^{2}$	$1$	$0$	$155$	$155$	simple
1.163.ai	$1$	$\F_{163}$	$163$	$1 - 8 x + 163 x^{2}$	$1$	$0$	$156$	$156$	simple
1.163.ah	$1$	$\F_{163}$	$163$	$1 - 7 x + 163 x^{2}$	$1$	$0$	$157$	$157$	simple
1.163.ag	$1$	$\F_{163}$	$163$	$1 - 6 x + 163 x^{2}$	$1$	$0$	$158$	$158$	simple
1.163.af	$1$	$\F_{163}$	$163$	$1 - 5 x + 163 x^{2}$	$1$	$0$	$159$	$159$	simple
1.163.ae	$1$	$\F_{163}$	$163$	$1 - 4 x + 163 x^{2}$	$1$	$0$	$160$	$160$	simple
1.163.ad	$1$	$\F_{163}$	$163$	$1 - 3 x + 163 x^{2}$	$1$	$0$	$161$	$161$	simple
1.163.ac	$1$	$\F_{163}$	$163$	$1 - 2 x + 163 x^{2}$	$1$	$0$	$162$	$162$	simple
1.163.ab	$1$	$\F_{163}$	$163$	$1 - x + 163 x^{2}$	$1$	$0$	$163$	$163$	simple
1.163.a	$1$	$\F_{163}$	$163$	$1 + 163 x^{2}$	$0$	$1$	$164$	$164$	simple
1.163.b	$1$	$\F_{163}$	$163$	$1 + x + 163 x^{2}$	$1$	$0$	$165$	$165$	simple
1.163.c	$1$	$\F_{163}$	$163$	$1 + 2 x + 163 x^{2}$	$1$	$0$	$166$	$166$	simple
1.163.d	$1$	$\F_{163}$	$163$	$1 + 3 x + 163 x^{2}$	$1$	$0$	$167$	$167$	simple
1.163.e	$1$	$\F_{163}$	$163$	$1 + 4 x + 163 x^{2}$	$1$	$0$	$168$	$168$	simple
1.163.f	$1$	$\F_{163}$	$163$	$1 + 5 x + 163 x^{2}$	$1$	$0$	$169$	$169$	simple
1.163.g	$1$	$\F_{163}$	$163$	$1 + 6 x + 163 x^{2}$	$1$	$0$	$170$	$170$	simple
1.163.h	$1$	$\F_{163}$	$163$	$1 + 7 x + 163 x^{2}$	$1$	$0$	$171$	$171$	simple
1.163.i	$1$	$\F_{163}$	$163$	$1 + 8 x + 163 x^{2}$	$1$	$0$	$172$	$172$	simple
1.163.j	$1$	$\F_{163}$	$163$	$1 + 9 x + 163 x^{2}$	$1$	$0$	$173$	$173$	simple
1.163.k	$1$	$\F_{163}$	$163$	$1 + 10 x + 163 x^{2}$	$1$	$0$	$174$	$174$	simple
1.163.l	$1$	$\F_{163}$	$163$	$1 + 11 x + 163 x^{2}$	$1$	$0$	$175$	$175$	simple
1.163.m	$1$	$\F_{163}$	$163$	$1 + 12 x + 163 x^{2}$	$1$	$0$	$176$	$176$	simple
1.163.n	$1$	$\F_{163}$	$163$	$1 + 13 x + 163 x^{2}$	$1$	$0$	$177$	$177$	simple
1.163.o	$1$	$\F_{163}$	$163$	$1 + 14 x + 163 x^{2}$	$1$	$0$	$178$	$178$	simple
1.163.p	$1$	$\F_{163}$	$163$	$1 + 15 x + 163 x^{2}$	$1$	$0$	$179$	$179$	simple
1.163.q	$1$	$\F_{163}$	$163$	$1 + 16 x + 163 x^{2}$	$1$	$0$	$180$	$180$	simple
1.163.r	$1$	$\F_{163}$	$163$	$1 + 17 x + 163 x^{2}$	$1$	$0$	$181$	$181$	simple
1.163.s	$1$	$\F_{163}$	$163$	$1 + 18 x + 163 x^{2}$	$1$	$0$	$182$	$182$	simple
1.163.t	$1$	$\F_{163}$	$163$	$1 + 19 x + 163 x^{2}$	$1$	$0$	$183$	$183$	simple
1.163.u	$1$	$\F_{163}$	$163$	$1 + 20 x + 163 x^{2}$	$1$	$0$	$184$	$184$	simple
1.163.v	$1$	$\F_{163}$	$163$	$1 + 21 x + 163 x^{2}$	$1$	$0$	$185$	$185$	simple
1.163.w	$1$	$\F_{163}$	$163$	$1 + 22 x + 163 x^{2}$	$1$	$0$	$186$	$186$	simple
1.163.x	$1$	$\F_{163}$	$163$	$1 + 23 x + 163 x^{2}$	$1$	$0$	$187$	$187$	simple
1.163.y	$1$	$\F_{163}$	$163$	$1 + 24 x + 163 x^{2}$	$1$	$0$	$188$	$188$	simple

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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Abelian varieties over $\F_{q}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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Results (1-50 of 51 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search