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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
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Results (14 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.5.ai_ba $2$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )^{2}$ $2$ 1.5.ae 2
2.5.ah_w $2$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )$ $2$ 1.5.ae $\times$ 1.5.ad
2.5.af_q $2$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )$ $2$ 1.5.ad $\times$ 1.5.ac
2.5.ad_m $2$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - x + 5 x^{2} )$ $2$ 1.5.ac $\times$ 1.5.ab
2.5.ac_ab $2$ $\F_{5}$ $1 - 2 x - x^{2} - 10 x^{3} + 25 x^{4}$ $2$ simple
2.5.ab_k $2$ $\F_{5}$ $( 1 - x + 5 x^{2} )( 1 + 5 x^{2} )$ $1$ 1.5.ab $\times$ 1.5.a
2.5.a_aj $2$ $\F_{5}$ $1 - 9 x^{2} + 25 x^{4}$ $2$ simple
2.5.a_ai $2$ $\F_{5}$ $1 - 8 x^{2} + 25 x^{4}$ $2$ simple
2.5.b_k $2$ $\F_{5}$ $( 1 + 5 x^{2} )( 1 + x + 5 x^{2} )$ $1$ 1.5.a $\times$ 1.5.b
2.5.c_ab $2$ $\F_{5}$ $1 + 2 x - x^{2} + 10 x^{3} + 25 x^{4}$ $2$ simple
2.5.d_m $2$ $\F_{5}$ $( 1 + x + 5 x^{2} )( 1 + 2 x + 5 x^{2} )$ $2$ 1.5.b $\times$ 1.5.c
2.5.f_q $2$ $\F_{5}$ $( 1 + 2 x + 5 x^{2} )( 1 + 3 x + 5 x^{2} )$ $2$ 1.5.c $\times$ 1.5.d
2.5.h_w $2$ $\F_{5}$ $( 1 + 3 x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ $2$ 1.5.d $\times$ 1.5.e
2.5.i_ba $2$ $\F_{5}$ $( 1 + 4 x + 5 x^{2} )^{2}$ $2$ 1.5.e 2
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