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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 (18 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.25.ar_er $2$ $\F_{5^{2}}$ $1 - 17 x + 121 x^{2} - 425 x^{3} + 625 x^{4}$ $2$ simple
2.25.aq_eh $2$ $\F_{5^{2}}$ $1 - 16 x + 111 x^{2} - 400 x^{3} + 625 x^{4}$ $2$ simple
2.25.an_dh $2$ $\F_{5^{2}}$ $1 - 13 x + 85 x^{2} - 325 x^{3} + 625 x^{4}$ $1$ simple
2.25.an_dm $2$ $\F_{5^{2}}$ $( 1 - 8 x + 25 x^{2} )( 1 - 5 x + 25 x^{2} )$ $1$ 1.25.ai $\times$ 1.25.af
2.25.aj_cn $2$ $\F_{5^{2}}$ $1 - 9 x + 65 x^{2} - 225 x^{3} + 625 x^{4}$ $1$ simple
2.25.ad_bt $2$ $\F_{5^{2}}$ $1 - 3 x + 45 x^{2} - 75 x^{3} + 625 x^{4}$ $1$ simple
2.25.ac_abe $2$ $\F_{5^{2}}$ $( 1 - 5 x )^{2}( 1 + 8 x + 25 x^{2} )$ $1$ 1.25.ak $\times$ 1.25.i
2.25.ab_abj $2$ $\F_{5^{2}}$ $1 - x - 35 x^{2} - 25 x^{3} + 625 x^{4}$ $1$ simple
2.25.a_abv $2$ $\F_{5^{2}}$ $1 - 47 x^{2} + 625 x^{4}$ $2$ simple
2.25.a_z $2$ $\F_{5^{2}}$ $( 1 - 5 x + 25 x^{2} )( 1 + 5 x + 25 x^{2} )$ $0$ 1.25.af $\times$ 1.25.f
2.25.b_abj $2$ $\F_{5^{2}}$ $1 + x - 35 x^{2} + 25 x^{3} + 625 x^{4}$ $1$ simple
2.25.c_abe $2$ $\F_{5^{2}}$ $( 1 + 5 x )^{2}( 1 - 8 x + 25 x^{2} )$ $1$ 1.25.ai $\times$ 1.25.k
2.25.d_bt $2$ $\F_{5^{2}}$ $1 + 3 x + 45 x^{2} + 75 x^{3} + 625 x^{4}$ $1$ simple
2.25.j_cn $2$ $\F_{5^{2}}$ $1 + 9 x + 65 x^{2} + 225 x^{3} + 625 x^{4}$ $1$ simple
2.25.n_dh $2$ $\F_{5^{2}}$ $1 + 13 x + 85 x^{2} + 325 x^{3} + 625 x^{4}$ $1$ simple
2.25.n_dm $2$ $\F_{5^{2}}$ $( 1 + 5 x + 25 x^{2} )( 1 + 8 x + 25 x^{2} )$ $1$ 1.25.f $\times$ 1.25.i
2.25.q_eh $2$ $\F_{5^{2}}$ $1 + 16 x + 111 x^{2} + 400 x^{3} + 625 x^{4}$ $2$ simple
2.25.r_er $2$ $\F_{5^{2}}$ $1 + 17 x + 121 x^{2} + 425 x^{3} + 625 x^{4}$ $2$ simple
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