↑

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 at least 1000)

Next   To download results, determine the number of results.
Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
1.2.ab $1$ $\F_{2}$ $1 - x + 2 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.2.b $1$ $\F_{2}$ $1 + x + 2 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.3.ac $1$ $\F_{3}$ $1 - 2 x + 3 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.3.ab $1$ $\F_{3}$ $1 - x + 3 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.3.b $1$ $\F_{3}$ $1 + x + 3 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.3.c $1$ $\F_{3}$ $1 + 2 x + 3 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.4.ad $1$ $\F_{2^{2}}$ $1 - 3 x + 4 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.4.ab $1$ $\F_{2^{2}}$ $1 - x + 4 x^{2}$ $1$ \(\Q(\sqrt{-15}) \) $C_2$ simple
1.4.b $1$ $\F_{2^{2}}$ $1 + x + 4 x^{2}$ $1$ \(\Q(\sqrt{-15}) \) $C_2$ simple
1.4.d $1$ $\F_{2^{2}}$ $1 + 3 x + 4 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.5.ae $1$ $\F_{5}$ $1 - 4 x + 5 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.5.ad $1$ $\F_{5}$ $1 - 3 x + 5 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.5.ac $1$ $\F_{5}$ $1 - 2 x + 5 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.5.ab $1$ $\F_{5}$ $1 - x + 5 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.5.b $1$ $\F_{5}$ $1 + x + 5 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.5.c $1$ $\F_{5}$ $1 + 2 x + 5 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.5.d $1$ $\F_{5}$ $1 + 3 x + 5 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.5.e $1$ $\F_{5}$ $1 + 4 x + 5 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.7.af $1$ $\F_{7}$ $1 - 5 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.ae $1$ $\F_{7}$ $1 - 4 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.ad $1$ $\F_{7}$ $1 - 3 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.7.ac $1$ $\F_{7}$ $1 - 2 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-6}) \) $C_2$ simple
1.7.ab $1$ $\F_{7}$ $1 - x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.b $1$ $\F_{7}$ $1 + x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.c $1$ $\F_{7}$ $1 + 2 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-6}) \) $C_2$ simple
1.7.d $1$ $\F_{7}$ $1 + 3 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.7.e $1$ $\F_{7}$ $1 + 4 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.f $1$ $\F_{7}$ $1 + 5 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.8.af $1$ $\F_{2^{3}}$ $1 - 5 x + 8 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.8.ad $1$ $\F_{2^{3}}$ $1 - 3 x + 8 x^{2}$ $1$ \(\Q(\sqrt{-23}) \) $C_2$ simple
1.8.ab $1$ $\F_{2^{3}}$ $1 - x + 8 x^{2}$ $1$ \(\Q(\sqrt{-31}) \) $C_2$ simple
1.8.b $1$ $\F_{2^{3}}$ $1 + x + 8 x^{2}$ $1$ \(\Q(\sqrt{-31}) \) $C_2$ simple
1.8.d $1$ $\F_{2^{3}}$ $1 + 3 x + 8 x^{2}$ $1$ \(\Q(\sqrt{-23}) \) $C_2$ simple
1.8.f $1$ $\F_{2^{3}}$ $1 + 5 x + 8 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.9.af $1$ $\F_{3^{2}}$ $1 - 5 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.9.ae $1$ $\F_{3^{2}}$ $1 - 4 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-5}) \) $C_2$ simple
1.9.ac $1$ $\F_{3^{2}}$ $1 - 2 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.9.ab $1$ $\F_{3^{2}}$ $1 - x + 9 x^{2}$ $1$ \(\Q(\sqrt{-35}) \) $C_2$ simple
1.9.b $1$ $\F_{3^{2}}$ $1 + x + 9 x^{2}$ $1$ \(\Q(\sqrt{-35}) \) $C_2$ simple
1.9.c $1$ $\F_{3^{2}}$ $1 + 2 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.9.e $1$ $\F_{3^{2}}$ $1 + 4 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-5}) \) $C_2$ simple
1.9.f $1$ $\F_{3^{2}}$ $1 + 5 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.11.ag $1$ $\F_{11}$ $1 - 6 x + 11 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.11.af $1$ $\F_{11}$ $1 - 5 x + 11 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.11.ae $1$ $\F_{11}$ $1 - 4 x + 11 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.11.ad $1$ $\F_{11}$ $1 - 3 x + 11 x^{2}$ $1$ \(\Q(\sqrt{-35}) \) $C_2$ simple
1.11.ac $1$ $\F_{11}$ $1 - 2 x + 11 x^{2}$ $1$ \(\Q(\sqrt{-10}) \) $C_2$ simple
1.11.ab $1$ $\F_{11}$ $1 - x + 11 x^{2}$ $1$ \(\Q(\sqrt{-43}) \) $C_2$ simple
1.11.b $1$ $\F_{11}$ $1 + x + 11 x^{2}$ $1$ \(\Q(\sqrt{-43}) \) $C_2$ simple
1.11.c $1$ $\F_{11}$ $1 + 2 x + 11 x^{2}$ $1$ \(\Q(\sqrt{-10}) \) $C_2$ simple
Next   To download results, determine the number of results.