↑

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 235 matches)

Next   displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.25.ao_dq $2$ $\F_{5^{2}}$ $1 - 14 x + 94 x^{2} - 350 x^{3} + 625 x^{4}$ $2$ simple
2.25.ao_du $2$ $\F_{5^{2}}$ $( 1 - 8 x + 25 x^{2} )( 1 - 6 x + 25 x^{2} )$ $2$ 1.25.ai $\times$ 1.25.ag
2.25.an_dg $2$ $\F_{5^{2}}$ $1 - 13 x + 84 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.an_dj $2$ $\F_{5^{2}}$ $1 - 13 x + 87 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.an_dl $2$ $\F_{5^{2}}$ $1 - 13 x + 89 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_cu $2$ $\F_{5^{2}}$ $1 - 12 x + 72 x^{2} - 300 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_cw $2$ $\F_{5^{2}}$ $1 - 12 x + 74 x^{2} - 300 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_cy $2$ $\F_{5^{2}}$ $1 - 12 x + 76 x^{2} - 300 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_db $2$ $\F_{5^{2}}$ $1 - 12 x + 79 x^{2} - 300 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_dg $2$ $\F_{5^{2}}$ $1 - 12 x + 84 x^{2} - 300 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_di $2$ $\F_{5^{2}}$ $( 1 - 6 x + 25 x^{2} )^{2}$ $2$ 1.25.ag 2
2.25.al_cl $2$ $\F_{5^{2}}$ $1 - 11 x + 63 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cm $2$ $\F_{5^{2}}$ $1 - 11 x + 64 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_co $2$ $\F_{5^{2}}$ $1 - 11 x + 66 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cp $2$ $\F_{5^{2}}$ $1 - 11 x + 67 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cr $2$ $\F_{5^{2}}$ $1 - 11 x + 69 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cu $2$ $\F_{5^{2}}$ $1 - 11 x + 72 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cv $2$ $\F_{5^{2}}$ $1 - 11 x + 73 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cw $2$ $\F_{5^{2}}$ $( 1 - 8 x + 25 x^{2} )( 1 - 3 x + 25 x^{2} )$ $2$ 1.25.ai $\times$ 1.25.ad
2.25.al_cy $2$ $\F_{5^{2}}$ $1 - 11 x + 76 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_da $2$ $\F_{5^{2}}$ $( 1 - 7 x + 25 x^{2} )( 1 - 4 x + 25 x^{2} )$ $2$ 1.25.ah $\times$ 1.25.ae
2.25.ak_bz $2$ $\F_{5^{2}}$ $1 - 10 x + 51 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cf $2$ $\F_{5^{2}}$ $1 - 10 x + 57 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cp $2$ $\F_{5^{2}}$ $1 - 10 x + 67 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cr $2$ $\F_{5^{2}}$ $1 - 10 x + 69 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cw $2$ $\F_{5^{2}}$ $( 1 - 6 x + 25 x^{2} )( 1 - 4 x + 25 x^{2} )$ $2$ 1.25.ag $\times$ 1.25.ae
2.25.aj_bq $2$ $\F_{5^{2}}$ $1 - 9 x + 42 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_br $2$ $\F_{5^{2}}$ $1 - 9 x + 43 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_bs $2$ $\F_{5^{2}}$ $1 - 9 x + 44 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_bz $2$ $\F_{5^{2}}$ $1 - 9 x + 51 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_cc $2$ $\F_{5^{2}}$ $1 - 9 x + 54 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_cj $2$ $\F_{5^{2}}$ $1 - 9 x + 61 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_co $2$ $\F_{5^{2}}$ $1 - 9 x + 66 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_cq $2$ $\F_{5^{2}}$ $( 1 - 6 x + 25 x^{2} )( 1 - 3 x + 25 x^{2} )$ $2$ 1.25.ag $\times$ 1.25.ad
2.25.ai_bh $2$ $\F_{5^{2}}$ $1 - 8 x + 33 x^{2} - 200 x^{3} + 625 x^{4}$ $2$ simple
2.25.ai_bk $2$ $\F_{5^{2}}$ $1 - 8 x + 36 x^{2} - 200 x^{3} + 625 x^{4}$ $2$ simple
2.25.ai_bx $2$ $\F_{5^{2}}$ $1 - 8 x + 49 x^{2} - 200 x^{3} + 625 x^{4}$ $2$ simple
2.25.ai_ce $2$ $\F_{5^{2}}$ $1 - 8 x + 56 x^{2} - 200 x^{3} + 625 x^{4}$ $2$ simple
2.25.ai_ch $2$ $\F_{5^{2}}$ $1 - 8 x + 59 x^{2} - 200 x^{3} + 625 x^{4}$ $2$ simple
2.25.ai_cl $2$ $\F_{5^{2}}$ $1 - 8 x + 63 x^{2} - 200 x^{3} + 625 x^{4}$ $2$ simple
2.25.ah_bi $2$ $\F_{5^{2}}$ $1 - 7 x + 34 x^{2} - 175 x^{3} + 625 x^{4}$ $2$ simple
2.25.ah_bo $2$ $\F_{5^{2}}$ $1 - 7 x + 40 x^{2} - 175 x^{3} + 625 x^{4}$ $1$ simple
2.25.ah_bp $2$ $\F_{5^{2}}$ $1 - 7 x + 41 x^{2} - 175 x^{3} + 625 x^{4}$ $2$ simple
2.25.ah_bx $2$ $\F_{5^{2}}$ $1 - 7 x + 49 x^{2} - 175 x^{3} + 625 x^{4}$ $2$ simple
2.25.ah_cc $2$ $\F_{5^{2}}$ $1 - 7 x + 54 x^{2} - 175 x^{3} + 625 x^{4}$ $2$ simple
2.25.ag_l $2$ $\F_{5^{2}}$ $1 - 6 x + 11 x^{2} - 150 x^{3} + 625 x^{4}$ $2$ simple
2.25.ag_m $2$ $\F_{5^{2}}$ $1 - 6 x + 12 x^{2} - 150 x^{3} + 625 x^{4}$ $2$ simple
2.25.ag_n $2$ $\F_{5^{2}}$ $1 - 6 x + 13 x^{2} - 150 x^{3} + 625 x^{4}$ $2$ simple
2.25.ag_bd $2$ $\F_{5^{2}}$ $1 - 6 x + 29 x^{2} - 150 x^{3} + 625 x^{4}$ $2$ simple
2.25.ag_bx $2$ $\F_{5^{2}}$ $1 - 6 x + 49 x^{2} - 150 x^{3} + 625 x^{4}$ $2$ simple
Next   displayed columns for results