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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 (5 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
1.2.ac	$1$	$\F_{2}$	$2$	$1 - 2 x + 2 x^{2}$	$0$	$1$	$1$	$1$	simple
1.2.ab	$1$	$\F_{2}$	$2$	$1 - x + 2 x^{2}$	$1$	$0$	$2$	$2$	simple
1.2.a	$1$	$\F_{2}$	$2$	$1 + 2 x^{2}$	$0$	$1$	$3$	$3$	simple
1.2.b	$1$	$\F_{2}$	$2$	$1 + x + 2 x^{2}$	$1$	$0$	$4$	$4$	simple
1.2.c	$1$	$\F_{2}$	$2$	$1 + 2 x + 2 x^{2}$	$0$	$1$	$5$	$5$	simple

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