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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 (4 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
6.2.a_a_ae_a_a_i	$6$	$\F_{2}$	$2$	$1 - 4 x^{3} + 8 x^{6} - 32 x^{9} + 64 x^{12}$	$0$	$6$	$3$	$37$	simple
6.2.a_a_a_a_a_ai	$6$	$\F_{2}$	$2$	$1 - 8 x^{6} + 64 x^{12}$	$0$	$6$	$3$	$57$	simple
6.2.a_a_a_a_a_i	$6$	$\F_{2}$	$2$	$1 + 8 x^{6} + 64 x^{12}$	$0$	$6$	$3$	$73$	simple
6.2.a_a_e_a_a_i	$6$	$\F_{2}$	$2$	$1 + 4 x^{3} + 8 x^{6} + 32 x^{9} + 64 x^{12}$	$0$	$6$	$3$	$109$	simple

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