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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 (16 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.4.ad_h $2$ $\F_{2^{2}}$ $1 - 3 x + 7 x^{2} - 12 x^{3} + 16 x^{4}$ $2$ simple
2.4.ac_b $2$ $\F_{2^{2}}$ $1 - 2 x + x^{2} - 8 x^{3} + 16 x^{4}$ $2$ simple
2.4.ac_d $2$ $\F_{2^{2}}$ $1 - 2 x + 3 x^{2} - 8 x^{3} + 16 x^{4}$ $2$ simple
2.4.ac_f $2$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )( 1 + x + 4 x^{2} )$ $2$ 1.4.ad $\times$ 1.4.b
2.4.ac_h $2$ $\F_{2^{2}}$ $1 - 2 x + 7 x^{2} - 8 x^{3} + 16 x^{4}$ $2$ simple
2.4.ab_d $2$ $\F_{2^{2}}$ $1 - x + 3 x^{2} - 4 x^{3} + 16 x^{4}$ $2$ simple
2.4.ab_f $2$ $\F_{2^{2}}$ $1 - x + 5 x^{2} - 4 x^{3} + 16 x^{4}$ $2$ simple
2.4.a_b $2$ $\F_{2^{2}}$ $1 + x^{2} + 16 x^{4}$ $2$ simple
2.4.a_d $2$ $\F_{2^{2}}$ $1 + 3 x^{2} + 16 x^{4}$ $2$ simple
2.4.b_d $2$ $\F_{2^{2}}$ $1 + x + 3 x^{2} + 4 x^{3} + 16 x^{4}$ $2$ simple
2.4.b_f $2$ $\F_{2^{2}}$ $1 + x + 5 x^{2} + 4 x^{3} + 16 x^{4}$ $2$ simple
2.4.c_b $2$ $\F_{2^{2}}$ $1 + 2 x + x^{2} + 8 x^{3} + 16 x^{4}$ $2$ simple
2.4.c_d $2$ $\F_{2^{2}}$ $1 + 2 x + 3 x^{2} + 8 x^{3} + 16 x^{4}$ $2$ simple
2.4.c_f $2$ $\F_{2^{2}}$ $( 1 - x + 4 x^{2} )( 1 + 3 x + 4 x^{2} )$ $2$ 1.4.ab $\times$ 1.4.d
2.4.c_h $2$ $\F_{2^{2}}$ $1 + 2 x + 7 x^{2} + 8 x^{3} + 16 x^{4}$ $2$ simple
2.4.d_h $2$ $\F_{2^{2}}$ $1 + 3 x + 7 x^{2} + 12 x^{3} + 16 x^{4}$ $2$ simple
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