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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 (6 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.7.ac_g $2$ $\F_{7}$ $( 1 - 4 x + 7 x^{2} )( 1 + 2 x + 7 x^{2} )$ $2$ 1.7.ae $\times$ 1.7.c
2.7.a_a $2$ $\F_{7}$ $1 + 49 x^{4}$ $0$ simple
2.7.a_c $2$ $\F_{7}$ $1 + 2 x^{2} + 49 x^{4}$ $2$ simple
2.7.a_g $2$ $\F_{7}$ $1 + 6 x^{2} + 49 x^{4}$ $2$ simple
2.7.a_k $2$ $\F_{7}$ $( 1 - 2 x + 7 x^{2} )( 1 + 2 x + 7 x^{2} )$ $2$ 1.7.ac $\times$ 1.7.c
2.7.c_g $2$ $\F_{7}$ $( 1 - 2 x + 7 x^{2} )( 1 + 4 x + 7 x^{2} )$ $2$ 1.7.ac $\times$ 1.7.e
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