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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 (27 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
1.4.ac $1$ $\F_{2^{2}}$ $1 - 2 x + 4 x^{2}$ $0$ simple
1.4.a $1$ $\F_{2^{2}}$ $1 + 4 x^{2}$ $0$ simple
1.4.c $1$ $\F_{2^{2}}$ $1 + 2 x + 4 x^{2}$ $0$ simple
1.9.ad $1$ $\F_{3^{2}}$ $1 - 3 x + 9 x^{2}$ $0$ simple
1.9.a $1$ $\F_{3^{2}}$ $1 + 9 x^{2}$ $0$ simple
1.9.d $1$ $\F_{3^{2}}$ $1 + 3 x + 9 x^{2}$ $0$ simple
1.16.ae $1$ $\F_{2^{4}}$ $1 - 4 x + 16 x^{2}$ $0$ simple
1.16.a $1$ $\F_{2^{4}}$ $1 + 16 x^{2}$ $0$ simple
1.16.e $1$ $\F_{2^{4}}$ $1 + 4 x + 16 x^{2}$ $0$ simple
1.64.ai $1$ $\F_{2^{6}}$ $1 - 8 x + 64 x^{2}$ $0$ simple
1.64.a $1$ $\F_{2^{6}}$ $1 + 64 x^{2}$ $0$ simple
1.64.i $1$ $\F_{2^{6}}$ $1 + 8 x + 64 x^{2}$ $0$ simple
1.81.aj $1$ $\F_{3^{4}}$ $1 - 9 x + 81 x^{2}$ $0$ simple
1.81.a $1$ $\F_{3^{4}}$ $1 + 81 x^{2}$ $0$ simple
1.81.j $1$ $\F_{3^{4}}$ $1 + 9 x + 81 x^{2}$ $0$ simple
1.121.al $1$ $\F_{11^{2}}$ $1 - 11 x + 121 x^{2}$ $0$ simple
1.121.a $1$ $\F_{11^{2}}$ $1 + 121 x^{2}$ $0$ simple
1.121.l $1$ $\F_{11^{2}}$ $1 + 11 x + 121 x^{2}$ $0$ simple
1.256.aq $1$ $\F_{2^{8}}$ $1 - 16 x + 256 x^{2}$ $0$ simple
1.256.a $1$ $\F_{2^{8}}$ $1 + 256 x^{2}$ $0$ simple
1.256.q $1$ $\F_{2^{8}}$ $1 + 16 x + 256 x^{2}$ $0$ simple
1.729.abb $1$ $\F_{3^{6}}$ $1 - 27 x + 729 x^{2}$ $0$ simple
1.729.a $1$ $\F_{3^{6}}$ $1 + 729 x^{2}$ $0$ simple
1.729.bb $1$ $\F_{3^{6}}$ $1 + 27 x + 729 x^{2}$ $0$ simple
1.1024.abg $1$ $\F_{2^{10}}$ $1 - 32 x + 1024 x^{2}$ $0$ simple
1.1024.a $1$ $\F_{2^{10}}$ $1 + 1024 x^{2}$ $0$ simple
1.1024.bg $1$ $\F_{2^{10}}$ $1 + 32 x + 1024 x^{2}$ $0$ simple
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