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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
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Results (37 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.8.ae_l $2$ $\F_{2^{3}}$ $( 1 - 5 x + 8 x^{2} )( 1 + x + 8 x^{2} )$ $2$ 1.8.af $\times$ 1.8.b
2.8.ae_n $2$ $\F_{2^{3}}$ $1 - 4 x + 13 x^{2} - 32 x^{3} + 64 x^{4}$ $2$ simple
2.8.ae_p $2$ $\F_{2^{3}}$ $1 - 4 x + 15 x^{2} - 32 x^{3} + 64 x^{4}$ $2$ simple
2.8.ae_t $2$ $\F_{2^{3}}$ $( 1 - 3 x + 8 x^{2} )( 1 - x + 8 x^{2} )$ $2$ 1.8.ad $\times$ 1.8.ab
2.8.ad_h $2$ $\F_{2^{3}}$ $1 - 3 x + 7 x^{2} - 24 x^{3} + 64 x^{4}$ $2$ simple
2.8.ad_l $2$ $\F_{2^{3}}$ $1 - 3 x + 11 x^{2} - 24 x^{3} + 64 x^{4}$ $2$ simple
2.8.ad_n $2$ $\F_{2^{3}}$ $1 - 3 x + 13 x^{2} - 24 x^{3} + 64 x^{4}$ $2$ simple
2.8.ac_ad $2$ $\F_{2^{3}}$ $1 - 2 x - 3 x^{2} - 16 x^{3} + 64 x^{4}$ $2$ simple
2.8.ac_ab $2$ $\F_{2^{3}}$ $1 - 2 x - x^{2} - 16 x^{3} + 64 x^{4}$ $2$ simple
2.8.ac_b $2$ $\F_{2^{3}}$ $( 1 - 5 x + 8 x^{2} )( 1 + 3 x + 8 x^{2} )$ $2$ 1.8.af $\times$ 1.8.d
2.8.ac_d $2$ $\F_{2^{3}}$ $1 - 2 x + 3 x^{2} - 16 x^{3} + 64 x^{4}$ $2$ simple
2.8.ab_b $2$ $\F_{2^{3}}$ $1 - x + x^{2} - 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.ab_f $2$ $\F_{2^{3}}$ $1 - x + 5 x^{2} - 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.ab_h $2$ $\F_{2^{3}}$ $1 - x + 7 x^{2} - 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.ab_j $2$ $\F_{2^{3}}$ $1 - x + 9 x^{2} - 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.ab_n $2$ $\F_{2^{3}}$ $1 - x + 13 x^{2} - 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.a_ah $2$ $\F_{2^{3}}$ $1 - 7 x^{2} + 64 x^{4}$ $2$ simple
2.8.a_d $2$ $\F_{2^{3}}$ $1 + 3 x^{2} + 64 x^{4}$ $2$ simple
2.8.a_j $2$ $\F_{2^{3}}$ $1 + 9 x^{2} + 64 x^{4}$ $2$ simple
2.8.a_l $2$ $\F_{2^{3}}$ $1 + 11 x^{2} + 64 x^{4}$ $2$ simple
2.8.a_n $2$ $\F_{2^{3}}$ $1 + 13 x^{2} + 64 x^{4}$ $2$ simple
2.8.b_b $2$ $\F_{2^{3}}$ $1 + x + x^{2} + 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.b_f $2$ $\F_{2^{3}}$ $1 + x + 5 x^{2} + 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.b_h $2$ $\F_{2^{3}}$ $1 + x + 7 x^{2} + 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.b_j $2$ $\F_{2^{3}}$ $1 + x + 9 x^{2} + 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.b_n $2$ $\F_{2^{3}}$ $1 + x + 13 x^{2} + 8 x^{3} + 64 x^{4}$ $2$ simple
2.8.c_ad $2$ $\F_{2^{3}}$ $1 + 2 x - 3 x^{2} + 16 x^{3} + 64 x^{4}$ $2$ simple
2.8.c_ab $2$ $\F_{2^{3}}$ $1 + 2 x - x^{2} + 16 x^{3} + 64 x^{4}$ $2$ simple
2.8.c_b $2$ $\F_{2^{3}}$ $( 1 - 3 x + 8 x^{2} )( 1 + 5 x + 8 x^{2} )$ $2$ 1.8.ad $\times$ 1.8.f
2.8.c_d $2$ $\F_{2^{3}}$ $1 + 2 x + 3 x^{2} + 16 x^{3} + 64 x^{4}$ $2$ simple
2.8.d_h $2$ $\F_{2^{3}}$ $1 + 3 x + 7 x^{2} + 24 x^{3} + 64 x^{4}$ $2$ simple
2.8.d_l $2$ $\F_{2^{3}}$ $1 + 3 x + 11 x^{2} + 24 x^{3} + 64 x^{4}$ $2$ simple
2.8.d_n $2$ $\F_{2^{3}}$ $1 + 3 x + 13 x^{2} + 24 x^{3} + 64 x^{4}$ $2$ simple
2.8.e_l $2$ $\F_{2^{3}}$ $( 1 - x + 8 x^{2} )( 1 + 5 x + 8 x^{2} )$ $2$ 1.8.ab $\times$ 1.8.f
2.8.e_n $2$ $\F_{2^{3}}$ $1 + 4 x + 13 x^{2} + 32 x^{3} + 64 x^{4}$ $2$ simple
2.8.e_p $2$ $\F_{2^{3}}$ $1 + 4 x + 15 x^{2} + 32 x^{3} + 64 x^{4}$ $2$ simple
2.8.e_t $2$ $\F_{2^{3}}$ $( 1 + x + 8 x^{2} )( 1 + 3 x + 8 x^{2} )$ $2$ 1.8.b $\times$ 1.8.d
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