↑

Learn more

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 5283 matches)

Next   displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.9.ak_bn_aee $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{4}( 1 + 2 x + 9 x^{2} )$ $1$ 1.9.ag 2 $\times$ 1.9.c
3.9.ak_bq_aew $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} - 36 x^{3} + 81 x^{4} )$ $1$ 1.9.ag $\times$ 2.9.ae_j
3.9.ak_bt_afn $3$ $\F_{3^{2}}$ $1 - 10 x + 45 x^{2} - 143 x^{3} + 405 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_bu_aft $3$ $\F_{3^{2}}$ $1 - 10 x + 46 x^{2} - 149 x^{3} + 414 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_bv_afy $3$ $\F_{3^{2}}$ $1 - 10 x + 47 x^{2} - 154 x^{3} + 423 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_bw_agf $3$ $\F_{3^{2}}$ $1 - 10 x + 48 x^{2} - 161 x^{3} + 432 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_bw_age $3$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 5 x + 14 x^{2} - 45 x^{3} + 81 x^{4} )$ $3$ 1.9.af $\times$ 2.9.af_o
3.9.ak_bx_agk $3$ $\F_{3^{2}}$ $1 - 10 x + 49 x^{2} - 166 x^{3} + 441 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_bx_agj $3$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 5 x + 15 x^{2} - 45 x^{3} + 81 x^{4} )$ $2$ 1.9.af $\times$ 2.9.af_p
3.9.ak_by_agr $3$ $\F_{3^{2}}$ $1 - 10 x + 50 x^{2} - 173 x^{3} + 450 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_by_agq $3$ $\F_{3^{2}}$ $1 - 10 x + 50 x^{2} - 172 x^{3} + 450 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_by_agp $3$ $\F_{3^{2}}$ $1 - 10 x + 50 x^{2} - 171 x^{3} + 450 x^{4} - 810 x^{5} + 729 x^{6}$ $2$ simple
3.9.ak_bz_agy $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} )( 1 + 9 x^{2} )$ $1$ 1.9.ag $\times$ 1.9.ae $\times$ 1.9.a
3.9.ak_bz_agx $3$ $\F_{3^{2}}$ $1 - 10 x + 51 x^{2} - 179 x^{3} + 459 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_ca_ahd $3$ $\F_{3^{2}}$ $1 - 10 x + 52 x^{2} - 185 x^{3} + 468 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_ca_ahc $3$ $\F_{3^{2}}$ $( 1 - 4 x + 9 x^{2} )( 1 - 6 x + 19 x^{2} - 54 x^{3} + 81 x^{4} )$ $3$ 1.9.ae $\times$ 2.9.ag_t
3.9.ak_ca_ahb $3$ $\F_{3^{2}}$ $1 - 10 x + 52 x^{2} - 183 x^{3} + 468 x^{4} - 810 x^{5} + 729 x^{6}$ $2$ simple
3.9.ak_ca_aha $3$ $\F_{3^{2}}$ $1 - 10 x + 52 x^{2} - 182 x^{3} + 468 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_ca_agz $3$ $\F_{3^{2}}$ $1 - 10 x + 52 x^{2} - 181 x^{3} + 468 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cb_ahj $3$ $\F_{3^{2}}$ $1 - 10 x + 53 x^{2} - 191 x^{3} + 477 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cb_ahf $3$ $\F_{3^{2}}$ $1 - 10 x + 53 x^{2} - 187 x^{3} + 477 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cb_ahe $3$ $\F_{3^{2}}$ $1 - 10 x + 53 x^{2} - 186 x^{3} + 477 x^{4} - 810 x^{5} + 729 x^{6}$ $2$ simple
3.9.ak_cc_ahq $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 3 x + 9 x^{2} )( 1 - x + 9 x^{2} )$ $1$ 1.9.ag $\times$ 1.9.ad $\times$ 1.9.ab
3.9.ak_cc_ahp $3$ $\F_{3^{2}}$ $1 - 10 x + 54 x^{2} - 197 x^{3} + 486 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cc_aho $3$ $\F_{3^{2}}$ $1 - 10 x + 54 x^{2} - 196 x^{3} + 486 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cc_ahl $3$ $\F_{3^{2}}$ $1 - 10 x + 54 x^{2} - 193 x^{3} + 486 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cc_ahj $3$ $\F_{3^{2}}$ $1 - 10 x + 54 x^{2} - 191 x^{3} + 486 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cd_ahu $3$ $\F_{3^{2}}$ $1 - 10 x + 55 x^{2} - 202 x^{3} + 495 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cd_aht $3$ $\F_{3^{2}}$ $( 1 - 3 x + 9 x^{2} )( 1 - 7 x + 25 x^{2} - 63 x^{3} + 81 x^{4} )$ $2$ 1.9.ad $\times$ 2.9.ah_z
3.9.ak_cd_ahr $3$ $\F_{3^{2}}$ $( 1 - x + 9 x^{2} )( 1 - 9 x + 37 x^{2} - 81 x^{3} + 81 x^{4} )$ $3$ 1.9.ab $\times$ 2.9.aj_bl
3.9.ak_cd_ahq $3$ $\F_{3^{2}}$ $1 - 10 x + 55 x^{2} - 198 x^{3} + 495 x^{4} - 810 x^{5} + 729 x^{6}$ $2$ simple
3.9.ak_cd_ahp $3$ $\F_{3^{2}}$ $1 - 10 x + 55 x^{2} - 197 x^{3} + 495 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cd_ahn $3$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 5 x + 21 x^{2} - 45 x^{3} + 81 x^{4} )$ $2$ 1.9.af $\times$ 2.9.af_v
3.9.ak_ce_ahx $3$ $\F_{3^{2}}$ $1 - 10 x + 56 x^{2} - 205 x^{3} + 504 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_ce_ahw $3$ $\F_{3^{2}}$ $( 1 - 3 x + 9 x^{2} )( 1 - 7 x + 26 x^{2} - 63 x^{3} + 81 x^{4} )$ $2$ 1.9.ad $\times$ 2.9.ah_ba
3.9.ak_ce_ahv $3$ $\F_{3^{2}}$ $1 - 10 x + 56 x^{2} - 203 x^{3} + 504 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_ce_ahu $3$ $\F_{3^{2}}$ $1 - 10 x + 56 x^{2} - 202 x^{3} + 504 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_ce_aht $3$ $\F_{3^{2}}$ $1 - 10 x + 56 x^{2} - 201 x^{3} + 504 x^{4} - 810 x^{5} + 729 x^{6}$ $2$ simple
3.9.ak_cf_ahz $3$ $\F_{3^{2}}$ $( 1 - 3 x + 9 x^{2} )( 1 - 7 x + 27 x^{2} - 63 x^{3} + 81 x^{4} )$ $1$ 1.9.ad $\times$ 2.9.ah_bb
3.9.ak_cf_ahy $3$ $\F_{3^{2}}$ $1 - 10 x + 57 x^{2} - 206 x^{3} + 513 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.ak_cf_ahx $3$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 5 x + 23 x^{2} - 45 x^{3} + 81 x^{4} )$ $3$ 1.9.af $\times$ 2.9.af_x
3.9.ak_cg_aib $3$ $\F_{3^{2}}$ $1 - 10 x + 58 x^{2} - 209 x^{3} + 522 x^{4} - 810 x^{5} + 729 x^{6}$ $3$ simple
3.9.aj_bb_acc $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{4}( 1 + 3 x + 9 x^{2} )$ $0$ 1.9.ag 2 $\times$ 1.9.d
3.9.aj_bf_ada $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 3 x + 4 x^{2} - 27 x^{3} + 81 x^{4} )$ $2$ 1.9.ag $\times$ 2.9.ad_e
3.9.aj_bi_adr $3$ $\F_{3^{2}}$ $1 - 9 x + 34 x^{2} - 95 x^{3} + 306 x^{4} - 729 x^{5} + 729 x^{6}$ $3$ simple
3.9.aj_bj_ady $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )( 1 + 2 x + 9 x^{2} )$ $2$ 1.9.ag $\times$ 1.9.af $\times$ 1.9.c
3.9.aj_bj_adx $3$ $\F_{3^{2}}$ $1 - 9 x + 35 x^{2} - 101 x^{3} + 315 x^{4} - 729 x^{5} + 729 x^{6}$ $3$ simple
3.9.aj_bk_aee $3$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 3 x + 9 x^{2} - 27 x^{3} + 81 x^{4} )$ $0$ 1.9.ag $\times$ 2.9.ad_j
3.9.aj_bk_aed $3$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 4 x + 7 x^{2} - 36 x^{3} + 81 x^{4} )$ $3$ 1.9.af $\times$ 2.9.ae_h
3.9.aj_bl_aej $3$ $\F_{3^{2}}$ $1 - 9 x + 37 x^{2} - 113 x^{3} + 333 x^{4} - 729 x^{5} + 729 x^{6}$ $3$ simple
Next   displayed columns for results