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Note: Search results may be incomplete due to uncomputed quantities: jacobian_count (2316480 objects)

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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 (12 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.2.ab_a_a $3$ $\F_{2}$ $1 - x - 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.ab_a_c $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $1$ 1.2.ab $\times$ 2.2.a_ac
3.2.ab_b_b $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.a_ab
3.2.ab_c_ae $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.a $\times$ 2.2.ab_a
3.2.ab_c_ac $3$ $\F_{2}$ $1 - x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.a_b_a $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )$ $2$ 1.2.a $\times$ 2.2.a_ab
3.2.a_c_ab $3$ $\F_{2}$ $1 + 2 x^{2} - x^{3} + 4 x^{4} + 8 x^{6}$ $3$ simple
3.2.a_c_b $3$ $\F_{2}$ $1 + 2 x^{2} + x^{3} + 4 x^{4} + 8 x^{6}$ $3$ simple
3.2.b_b_d $3$ $\F_{2}$ $1 + x + x^{2} + 3 x^{3} + 2 x^{4} + 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.b_c_c $3$ $\F_{2}$ $1 + x + 2 x^{2} + 2 x^{3} + 4 x^{4} + 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.b_c_e $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ $1$ 1.2.a $\times$ 2.2.b_a
3.2.b_d_d $3$ $\F_{2}$ $1 + x + 3 x^{2} + 3 x^{3} + 6 x^{4} + 4 x^{5} + 8 x^{6}$ $3$ simple
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