↑

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 278729 matches)

Next   displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
1.23.aj $1$ $\F_{23}$ $1 - 9 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.23.ai $1$ $\F_{23}$ $1 - 8 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.23.ah $1$ $\F_{23}$ $1 - 7 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-43}) \) $C_2$ simple
1.23.ag $1$ $\F_{23}$ $1 - 6 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-14}) \) $C_2$ simple
1.23.af $1$ $\F_{23}$ $1 - 5 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-67}) \) $C_2$ simple
1.23.ae $1$ $\F_{23}$ $1 - 4 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.23.ad $1$ $\F_{23}$ $1 - 3 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-83}) \) $C_2$ simple
1.23.ac $1$ $\F_{23}$ $1 - 2 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-22}) \) $C_2$ simple
1.23.ab $1$ $\F_{23}$ $1 - x + 23 x^{2}$ $1$ \(\Q(\sqrt{-91}) \) $C_2$ simple
1.23.a $1$ $\F_{23}$ $1 + 23 x^{2}$ $0$ \(\Q(\sqrt{-23}) \) $C_2$ simple
1.23.b $1$ $\F_{23}$ $1 + x + 23 x^{2}$ $1$ \(\Q(\sqrt{-91}) \) $C_2$ simple
1.23.c $1$ $\F_{23}$ $1 + 2 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-22}) \) $C_2$ simple
1.23.d $1$ $\F_{23}$ $1 + 3 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-83}) \) $C_2$ simple
1.23.e $1$ $\F_{23}$ $1 + 4 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.23.f $1$ $\F_{23}$ $1 + 5 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-67}) \) $C_2$ simple
1.23.g $1$ $\F_{23}$ $1 + 6 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-14}) \) $C_2$ simple
1.23.h $1$ $\F_{23}$ $1 + 7 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-43}) \) $C_2$ simple
1.23.i $1$ $\F_{23}$ $1 + 8 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.23.j $1$ $\F_{23}$ $1 + 9 x + 23 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
2.23.as_ex $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-11}) \) $C_2$ 1.23.aj 2
2.23.ar_eo $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 8 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-7}) \) $C_2$, $C_2$ 1.23.aj $\times$ 1.23.ai
2.23.aq_ee $2$ $\F_{23}$ $1 - 16 x + 108 x^{2} - 368 x^{3} + 529 x^{4}$ $2$ 4.0.10496.2 $D_{4}$ simple
2.23.aq_ef $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 7 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.23.aj $\times$ 1.23.ah
2.23.aq_eg $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-7}) \) $C_2$ 1.23.ai 2
2.23.ap_du $2$ $\F_{23}$ $1 - 15 x + 98 x^{2} - 345 x^{3} + 529 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{17})\) $C_2^2$ simple
2.23.ap_dv $2$ $\F_{23}$ $1 - 15 x + 99 x^{2} - 345 x^{3} + 529 x^{4}$ $2$ 4.0.54925.1 $C_4$ simple
2.23.ap_dw $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-14}) \) $C_2$, $C_2$ 1.23.aj $\times$ 1.23.ag
2.23.ap_dx $2$ $\F_{23}$ $1 - 15 x + 101 x^{2} - 345 x^{3} + 529 x^{4}$ $2$ 4.0.22725.1 $D_{4}$ simple
2.23.ap_dy $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 7 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.23.ai $\times$ 1.23.ah
2.23.ao_dl $2$ $\F_{23}$ $1 - 14 x + 89 x^{2} - 322 x^{3} + 529 x^{4}$ $2$ 4.0.111168.3 $D_{4}$ simple
2.23.ao_dm $2$ $\F_{23}$ $1 - 14 x + 90 x^{2} - 322 x^{3} + 529 x^{4}$ $2$ 4.0.11600.1 $D_{4}$ simple
2.23.ao_dn $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 5 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-67}) \) $C_2$, $C_2$ 1.23.aj $\times$ 1.23.af
2.23.ao_do $2$ $\F_{23}$ $1 - 14 x + 92 x^{2} - 322 x^{3} + 529 x^{4}$ $1$ 4.0.145728.2 $D_{4}$ simple
2.23.ao_dp $2$ $\F_{23}$ $1 - 14 x + 93 x^{2} - 322 x^{3} + 529 x^{4}$ $2$ 4.0.82496.2 $D_{4}$ simple
2.23.ao_dq $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) $C_2$, $C_2$ 1.23.ai $\times$ 1.23.ag
2.23.ao_dr $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-43}) \) $C_2$ 1.23.ah 2
2.23.an_db $2$ $\F_{23}$ $1 - 13 x + 79 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ 4.0.105413.1 $D_{4}$ simple
2.23.an_dc $2$ $\F_{23}$ $1 - 13 x + 80 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ 4.0.357192.2 $D_{4}$ simple
2.23.an_dd $2$ $\F_{23}$ $1 - 13 x + 81 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ 4.0.488621.1 $D_{4}$ simple
2.23.an_de $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 4 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-19}) \) $C_2$, $C_2$ 1.23.aj $\times$ 1.23.ae
2.23.an_df $2$ $\F_{23}$ $1 - 13 x + 83 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ 4.0.482013.2 $D_{4}$ simple
2.23.an_dg $2$ $\F_{23}$ $1 - 13 x + 84 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ 4.0.390728.1 $D_{4}$ simple
2.23.an_dh $2$ $\F_{23}$ $1 - 13 x + 85 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ 4.0.272597.1 $D_{4}$ simple
2.23.an_di $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 5 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-67}) \) $C_2$, $C_2$ 1.23.ai $\times$ 1.23.af
2.23.an_dj $2$ $\F_{23}$ $1 - 13 x + 87 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ 4.0.53525.1 $D_{4}$ simple
2.23.an_dk $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-14}) \) $C_2$, $C_2$ 1.23.ah $\times$ 1.23.ag
2.23.am_cs $2$ $\F_{23}$ $1 - 12 x + 70 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ 4.0.7488.1 $D_{4}$ simple
2.23.am_ct $2$ $\F_{23}$ $1 - 12 x + 71 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{11})\) $C_2^2$ simple
2.23.am_cu $2$ $\F_{23}$ $1 - 12 x + 72 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ \(\Q(i, \sqrt{10})\) $C_2^2$ simple
2.23.am_cv $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 3 x + 23 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-83}) \) $C_2$, $C_2$ 1.23.aj $\times$ 1.23.ad
Next   displayed columns for results