↑

Learn more

Note: Search results may be incomplete due to uncomputed quantities: jacobian_count (2316480 objects)

Refine search

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
(distinct) (distinct) (distinct) Number field Galois group
Sort order Select

Results (36 matches)

  displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.5.af_p $2$ $\F_{5}$ $1 - 5 x + 15 x^{2} - 25 x^{3} + 25 x^{4}$ $0$ simple
2.5.ae_j $2$ $\F_{5}$ $1 - 4 x + 9 x^{2} - 20 x^{3} + 25 x^{4}$ $2$ simple
2.5.ae_l $2$ $\F_{5}$ $1 - 4 x + 11 x^{2} - 20 x^{3} + 25 x^{4}$ $2$ simple
2.5.ae_m $2$ $\F_{5}$ $1 - 4 x + 12 x^{2} - 20 x^{3} + 25 x^{4}$ $2$ simple
2.5.ad_f $2$ $\F_{5}$ $1 - 3 x + 5 x^{2} - 15 x^{3} + 25 x^{4}$ $1$ simple
2.5.ad_k $2$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 + 5 x^{2} )$ $1$ 1.5.ad $\times$ 1.5.a
2.5.ad_l $2$ $\F_{5}$ $1 - 3 x + 11 x^{2} - 15 x^{3} + 25 x^{4}$ $2$ simple
2.5.ac_a $2$ $\F_{5}$ $1 - 2 x - 10 x^{3} + 25 x^{4}$ $1$ simple
2.5.ac_b $2$ $\F_{5}$ $1 - 2 x + x^{2} - 10 x^{3} + 25 x^{4}$ $2$ simple
2.5.ac_f $2$ $\F_{5}$ $1 - 2 x + 5 x^{2} - 10 x^{3} + 25 x^{4}$ $1$ simple
2.5.ac_i $2$ $\F_{5}$ $1 - 2 x + 8 x^{2} - 10 x^{3} + 25 x^{4}$ $2$ simple
2.5.ab_ac $2$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 + 3 x + 5 x^{2} )$ $2$ 1.5.ae $\times$ 1.5.d
2.5.ab_c $2$ $\F_{5}$ $1 - x + 2 x^{2} - 5 x^{3} + 25 x^{4}$ $2$ simple
2.5.ab_f $2$ $\F_{5}$ $1 - x + 5 x^{2} - 5 x^{3} + 25 x^{4}$ $1$ simple
2.5.ab_g $2$ $\F_{5}$ $1 - x + 6 x^{2} - 5 x^{3} + 25 x^{4}$ $2$ simple
2.5.ab_j $2$ $\F_{5}$ $1 - x + 9 x^{2} - 5 x^{3} + 25 x^{4}$ $2$ simple
2.5.a_ag $2$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ $2$ 1.5.ae $\times$ 1.5.e
2.5.a_ae $2$ $\F_{5}$ $1 - 4 x^{2} + 25 x^{4}$ $2$ simple
2.5.a_j $2$ $\F_{5}$ $( 1 - x + 5 x^{2} )( 1 + x + 5 x^{2} )$ $2$ 1.5.ab $\times$ 1.5.b
2.5.a_k $2$ $\F_{5}$ $( 1 + 5 x^{2} )^{2}$ $0$ 1.5.a 2
2.5.b_ac $2$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ $2$ 1.5.ad $\times$ 1.5.e
2.5.b_c $2$ $\F_{5}$ $1 + x + 2 x^{2} + 5 x^{3} + 25 x^{4}$ $2$ simple
2.5.b_f $2$ $\F_{5}$ $1 + x + 5 x^{2} + 5 x^{3} + 25 x^{4}$ $1$ simple
2.5.b_g $2$ $\F_{5}$ $1 + x + 6 x^{2} + 5 x^{3} + 25 x^{4}$ $2$ simple
2.5.b_j $2$ $\F_{5}$ $1 + x + 9 x^{2} + 5 x^{3} + 25 x^{4}$ $2$ simple
2.5.c_a $2$ $\F_{5}$ $1 + 2 x + 10 x^{3} + 25 x^{4}$ $1$ simple
2.5.c_b $2$ $\F_{5}$ $1 + 2 x + x^{2} + 10 x^{3} + 25 x^{4}$ $2$ simple
2.5.c_f $2$ $\F_{5}$ $1 + 2 x + 5 x^{2} + 10 x^{3} + 25 x^{4}$ $1$ simple
2.5.c_i $2$ $\F_{5}$ $1 + 2 x + 8 x^{2} + 10 x^{3} + 25 x^{4}$ $2$ simple
2.5.d_f $2$ $\F_{5}$ $1 + 3 x + 5 x^{2} + 15 x^{3} + 25 x^{4}$ $1$ simple
2.5.d_k $2$ $\F_{5}$ $( 1 + 5 x^{2} )( 1 + 3 x + 5 x^{2} )$ $1$ 1.5.a $\times$ 1.5.d
2.5.d_l $2$ $\F_{5}$ $1 + 3 x + 11 x^{2} + 15 x^{3} + 25 x^{4}$ $2$ simple
2.5.e_j $2$ $\F_{5}$ $1 + 4 x + 9 x^{2} + 20 x^{3} + 25 x^{4}$ $2$ simple
2.5.e_l $2$ $\F_{5}$ $1 + 4 x + 11 x^{2} + 20 x^{3} + 25 x^{4}$ $2$ simple
2.5.e_m $2$ $\F_{5}$ $1 + 4 x + 12 x^{2} + 20 x^{3} + 25 x^{4}$ $2$ simple
2.5.f_p $2$ $\F_{5}$ $1 + 5 x + 15 x^{2} + 25 x^{3} + 25 x^{4}$ $0$ simple
  displayed columns for results