↑

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 (1-50 of 225 matches)

Next   displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.17.am_co $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.ae
2.17.am_cp $2$ $\F_{17}$ $1 - 12 x + 67 x^{2} - 204 x^{3} + 289 x^{4}$ $2$ simple
2.17.am_cq $2$ $\F_{17}$ $1 - 12 x + 68 x^{2} - 204 x^{3} + 289 x^{4}$ $1$ simple
2.17.am_cr $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$ $2$ 1.17.ah $\times$ 1.17.af
2.17.am_cs $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )^{2}$ $2$ 1.17.ag 2
2.17.al_cg $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.ad
2.17.al_ci $2$ $\F_{17}$ $1 - 11 x + 60 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ simple
2.17.al_cj $2$ $\F_{17}$ $1 - 11 x + 61 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ simple
2.17.al_ck $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$ $2$ 1.17.ah $\times$ 1.17.ae
2.17.al_cl $2$ $\F_{17}$ $1 - 11 x + 63 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_bz $2$ $\F_{17}$ $1 - 10 x + 51 x^{2} - 170 x^{3} + 289 x^{4}$ $1$ simple
2.17.ak_ca $2$ $\F_{17}$ $1 - 10 x + 52 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_cc $2$ $\F_{17}$ $1 - 10 x + 54 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_ce $2$ $\F_{17}$ $1 - 10 x + 56 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_cf $2$ $\F_{17}$ $1 - 10 x + 57 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_cg $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$ $2$ 1.17.ag $\times$ 1.17.ae
2.17.aj_bp $2$ $\F_{17}$ $1 - 9 x + 41 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_bs $2$ $\F_{17}$ $1 - 9 x + 44 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_bt $2$ $\F_{17}$ $1 - 9 x + 45 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_bw $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - 2 x + 17 x^{2} )$ $2$ 1.17.ah $\times$ 1.17.ac
2.17.aj_bx $2$ $\F_{17}$ $1 - 9 x + 49 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_by $2$ $\F_{17}$ $1 - 9 x + 50 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_bz $2$ $\F_{17}$ $1 - 9 x + 51 x^{2} - 153 x^{3} + 289 x^{4}$ $1$ simple
2.17.aj_cb $2$ $\F_{17}$ $1 - 9 x + 53 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bh $2$ $\F_{17}$ $1 - 8 x + 33 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bj $2$ $\F_{17}$ $1 - 8 x + 35 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bk $2$ $\F_{17}$ $1 - 8 x + 36 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bn $2$ $\F_{17}$ $1 - 8 x + 39 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bs $2$ $\F_{17}$ $1 - 8 x + 44 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bv $2$ $\F_{17}$ $1 - 8 x + 47 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bw $2$ $\F_{17}$ $1 - 8 x + 48 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_by $2$ $\F_{17}$ $( 1 - 4 x + 17 x^{2} )^{2}$ $2$ 1.17.ae 2
2.17.ah_y $2$ $\F_{17}$ $1 - 7 x + 24 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_z $2$ $\F_{17}$ $1 - 7 x + 25 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_ba $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 + x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.b
2.17.ah_bb $2$ $\F_{17}$ $1 - 7 x + 27 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bd $2$ $\F_{17}$ $1 - 7 x + 29 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_be $2$ $\F_{17}$ $1 - 7 x + 30 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bh $2$ $\F_{17}$ $1 - 7 x + 33 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bm $2$ $\F_{17}$ $1 - 7 x + 38 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bp $2$ $\F_{17}$ $1 - 7 x + 41 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bq $2$ $\F_{17}$ $1 - 7 x + 42 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_br $2$ $\F_{17}$ $1 - 7 x + 43 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bs $2$ $\F_{17}$ $( 1 - 5 x + 17 x^{2} )( 1 - 2 x + 17 x^{2} )$ $2$ 1.17.af $\times$ 1.17.ac
2.17.ah_bt $2$ $\F_{17}$ $1 - 7 x + 45 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_q $2$ $\F_{17}$ $1 - 6 x + 16 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_r $2$ $\F_{17}$ $1 - 6 x + 17 x^{2} - 102 x^{3} + 289 x^{4}$ $1$ simple
2.17.ag_u $2$ $\F_{17}$ $1 - 6 x + 20 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_v $2$ $\F_{17}$ $1 - 6 x + 21 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_y $2$ $\F_{17}$ $1 - 6 x + 24 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
Next   displayed columns for results