↑

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
Newton elevation # Jacobians # Hyp. Jacobians # twists Max twist degree
Angle rank Angle corank End. degree $p$-corank (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 12849 matches)

Next   displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
2.113.abq_zr $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-11}) \) $C_2$ 1.113.av 2
2.113.abp_yw $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 20 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-13}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.au
2.113.abo_yb $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 19 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-91}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.at
2.113.abo_yc $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-13}) \) $C_2$ 1.113.au 2
2.113.abn_xg $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 18 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.as
2.113.abn_xh $2$ $\F_{113}$ $1 - 39 x + 605 x^{2} - 4407 x^{3} + 12769 x^{4}$ $2$ 4.0.76725.1 $D_{4}$ simple
2.113.abn_xi $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 19 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-91}) \) $C_2$, $C_2$ 1.113.au $\times$ 1.113.at
2.113.abm_wk $2$ $\F_{113}$ $1 - 38 x + 582 x^{2} - 4294 x^{3} + 12769 x^{4}$ $2$ 4.0.4400.1 $D_{4}$ simple
2.113.abm_wl $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 17 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.ar
2.113.abm_wm $2$ $\F_{113}$ $1 - 38 x + 584 x^{2} - 4294 x^{3} + 12769 x^{4}$ $2$ 4.0.491328.3 $D_{4}$ simple
2.113.abm_wn $2$ $\F_{113}$ $1 - 38 x + 585 x^{2} - 4294 x^{3} + 12769 x^{4}$ $2$ 4.0.322112.1 $D_{4}$ simple
2.113.abm_wo $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 18 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.113.au $\times$ 1.113.as
2.113.abm_wp $2$ $\F_{113}$ $( 1 - 19 x + 113 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-91}) \) $C_2$ 1.113.at 2
2.113.abl_vp $2$ $\F_{113}$ $1 - 37 x + 561 x^{2} - 4181 x^{3} + 12769 x^{4}$ $2$ 4.0.488621.1 $D_{4}$ simple
2.113.abl_vq $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 16 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.aq
2.113.abl_vr $2$ $\F_{113}$ $1 - 37 x + 563 x^{2} - 4181 x^{3} + 12769 x^{4}$ $2$ 4.0.1646253.1 $D_{4}$ simple
2.113.abl_vs $2$ $\F_{113}$ $1 - 37 x + 564 x^{2} - 4181 x^{3} + 12769 x^{4}$ $2$ 4.0.95948.1 $D_{4}$ simple
2.113.abl_vt $2$ $\F_{113}$ $1 - 37 x + 565 x^{2} - 4181 x^{3} + 12769 x^{4}$ $1$ 4.0.1164917.2 $D_{4}$ simple
2.113.abl_vu $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 17 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.113.au $\times$ 1.113.ar
2.113.abl_vv $2$ $\F_{113}$ $1 - 37 x + 567 x^{2} - 4181 x^{3} + 12769 x^{4}$ $2$ 4.0.251525.1 $D_{4}$ simple
2.113.abl_vw $2$ $\F_{113}$ $( 1 - 19 x + 113 x^{2} )( 1 - 18 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.113.at $\times$ 1.113.as
2.113.abk_uu $2$ $\F_{113}$ $1 - 36 x + 540 x^{2} - 4068 x^{3} + 12769 x^{4}$ $2$ 4.0.1542400.2 $D_{4}$ simple
2.113.abk_uv $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 15 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-227}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.ap
2.113.abk_uw $2$ $\F_{113}$ $1 - 36 x + 542 x^{2} - 4068 x^{3} + 12769 x^{4}$ $2$ 4.0.64512.5 $D_{4}$ simple
2.113.abk_ux $2$ $\F_{113}$ $1 - 36 x + 543 x^{2} - 4068 x^{3} + 12769 x^{4}$ $2$ 4.0.4366096.1 $D_{4}$ simple
2.113.abk_uy $2$ $\F_{113}$ $1 - 36 x + 544 x^{2} - 4068 x^{3} + 12769 x^{4}$ $2$ 4.0.4094208.2 $D_{4}$ simple
2.113.abk_uz $2$ $\F_{113}$ $1 - 36 x + 545 x^{2} - 4068 x^{3} + 12769 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{5})\) $C_2^2$ simple
2.113.abk_va $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 16 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.113.au $\times$ 1.113.aq
2.113.abk_vb $2$ $\F_{113}$ $1 - 36 x + 547 x^{2} - 4068 x^{3} + 12769 x^{4}$ $2$ 4.0.13968.2 $D_{4}$ simple
2.113.abk_vc $2$ $\F_{113}$ $1 - 36 x + 548 x^{2} - 4068 x^{3} + 12769 x^{4}$ $2$ 4.0.10496.2 $D_{4}$ simple
2.113.abk_vd $2$ $\F_{113}$ $( 1 - 19 x + 113 x^{2} )( 1 - 17 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.113.at $\times$ 1.113.ar
2.113.abk_ve $2$ $\F_{113}$ $( 1 - 18 x + 113 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-2}) \) $C_2$ 1.113.as 2
2.113.abj_tz $2$ $\F_{113}$ $1 - 35 x + 519 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.3721925.1 $C_4$ simple
2.113.abj_ua $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 14 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.ao
2.113.abj_ub $2$ $\F_{113}$ $1 - 35 x + 521 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.107725.1 $D_{4}$ simple
2.113.abj_uc $2$ $\F_{113}$ $1 - 35 x + 522 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.9756524.1 $D_{4}$ simple
2.113.abj_ud $2$ $\F_{113}$ $1 - 35 x + 523 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.9995069.2 $D_{4}$ simple
2.113.abj_ue $2$ $\F_{113}$ $1 - 35 x + 524 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.2395800.1 $D_{4}$ simple
2.113.abj_uf $2$ $\F_{113}$ $1 - 35 x + 525 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.8663141.1 $D_{4}$ simple
2.113.abj_ug $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 15 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-227}) \) $C_2$, $C_2$ 1.113.au $\times$ 1.113.ap
2.113.abj_uh $2$ $\F_{113}$ $1 - 35 x + 527 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.5869269.1 $D_{4}$ simple
2.113.abj_ui $2$ $\F_{113}$ $1 - 35 x + 528 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.1070456.1 $D_{4}$ simple
2.113.abj_uj $2$ $\F_{113}$ $1 - 35 x + 529 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.2758925.3 $D_{4}$ simple
2.113.abj_uk $2$ $\F_{113}$ $( 1 - 19 x + 113 x^{2} )( 1 - 16 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.113.at $\times$ 1.113.aq
2.113.abj_ul $2$ $\F_{113}$ $1 - 35 x + 531 x^{2} - 3955 x^{3} + 12769 x^{4}$ $2$ 4.0.483725.1 $D_{4}$ simple
2.113.abj_um $2$ $\F_{113}$ $( 1 - 18 x + 113 x^{2} )( 1 - 17 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.113.as $\times$ 1.113.ar
2.113.abi_td $2$ $\F_{113}$ $1 - 34 x + 497 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.13888.1 $D_{4}$ simple
2.113.abi_te $2$ $\F_{113}$ $1 - 34 x + 498 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.120224.1 $D_{4}$ simple
2.113.abi_tf $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 13 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-283}) \) $C_2$, $C_2$ 1.113.av $\times$ 1.113.an
2.113.abi_tg $2$ $\F_{113}$ $1 - 34 x + 500 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.16430400.1 $D_{4}$ simple
Next   displayed columns for results