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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
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Results (18 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.11.ae_w $2$ $\F_{11}$ $( 1 - 4 x + 11 x^{2} )( 1 + 11 x^{2} )$ $1$ 1.11.ae $\times$ 1.11.a
2.11.ad_k $2$ $\F_{11}$ $1 - 3 x + 10 x^{2} - 33 x^{3} + 121 x^{4}$ $2$ simple
2.11.ac_g $2$ $\F_{11}$ $1 - 2 x + 6 x^{2} - 22 x^{3} + 121 x^{4}$ $2$ simple
2.11.ac_h $2$ $\F_{11}$ $( 1 - 5 x + 11 x^{2} )( 1 + 3 x + 11 x^{2} )$ $2$ 1.11.af $\times$ 1.11.d
2.11.ac_k $2$ $\F_{11}$ $1 - 2 x + 10 x^{2} - 22 x^{3} + 121 x^{4}$ $2$ simple
2.11.ac_o $2$ $\F_{11}$ $( 1 - 4 x + 11 x^{2} )( 1 + 2 x + 11 x^{2} )$ $2$ 1.11.ae $\times$ 1.11.c
2.11.a_ac $2$ $\F_{11}$ $1 - 2 x^{2} + 121 x^{4}$ $2$ simple
2.11.a_c $2$ $\F_{11}$ $1 + 2 x^{2} + 121 x^{4}$ $2$ simple
2.11.a_e $2$ $\F_{11}$ $1 + 4 x^{2} + 121 x^{4}$ $2$ simple
2.11.a_k $2$ $\F_{11}$ $1 + 10 x^{2} + 121 x^{4}$ $2$ simple
2.11.a_n $2$ $\F_{11}$ $( 1 - 3 x + 11 x^{2} )( 1 + 3 x + 11 x^{2} )$ $2$ 1.11.ad $\times$ 1.11.d
2.11.a_o $2$ $\F_{11}$ $1 + 14 x^{2} + 121 x^{4}$ $2$ simple
2.11.c_g $2$ $\F_{11}$ $1 + 2 x + 6 x^{2} + 22 x^{3} + 121 x^{4}$ $2$ simple
2.11.c_h $2$ $\F_{11}$ $( 1 - 3 x + 11 x^{2} )( 1 + 5 x + 11 x^{2} )$ $2$ 1.11.ad $\times$ 1.11.f
2.11.c_k $2$ $\F_{11}$ $1 + 2 x + 10 x^{2} + 22 x^{3} + 121 x^{4}$ $2$ simple
2.11.c_o $2$ $\F_{11}$ $( 1 - 2 x + 11 x^{2} )( 1 + 4 x + 11 x^{2} )$ $2$ 1.11.ac $\times$ 1.11.e
2.11.d_k $2$ $\F_{11}$ $1 + 3 x + 10 x^{2} + 33 x^{3} + 121 x^{4}$ $2$ simple
2.11.e_w $2$ $\F_{11}$ $( 1 + 11 x^{2} )( 1 + 4 x + 11 x^{2} )$ $1$ 1.11.a $\times$ 1.11.e
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