↑

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 5918 matches)

Next   displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.2.af_o_ay $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ $1$ 1.2.ac 2 $\times$ 1.2.ab
3.2.ad_e_ae $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.ac $\times$ 2.2.ab_a
3.2.ad_g_ak $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $1$ 1.2.ab $\times$ 2.2.ac_c
3.2.ad_g_ai $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ $1$ 1.2.ac 2 $\times$ 1.2.b
3.2.ad_i_am $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.ab $\times$ 1.2.a
3.2.ab_ac_e $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ $1$ 1.2.ab $\times$ 2.2.a_ae
3.2.ab_a_a $3$ $\F_{2}$ $1 - x - 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.ab_a_c $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $1$ 1.2.ab $\times$ 2.2.a_ac
3.2.ab_a_e $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ $1$ 1.2.ac $\times$ 2.2.b_a
3.2.ab_c_ag $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $1$ 1.2.b $\times$ 2.2.ac_c
3.2.ab_c_ae $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.a $\times$ 2.2.ab_a
3.2.ab_c_ac $3$ $\F_{2}$ $1 - x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.ab_c_a $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.ab $\times$ 1.2.c
3.2.ab_e_ae $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.a $\times$ 1.2.b
3.2.ab_e_ac $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ $1$ 1.2.ab $\times$ 2.2.a_c
3.2.ab_g_ae $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )^{2}$ $1$ 1.2.ab $\times$ 1.2.a 2
3.2.b_ac_ae $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ $1$ 1.2.b $\times$ 2.2.a_ae
3.2.b_a_ae $3$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.c $\times$ 2.2.ab_a
3.2.b_a_ac $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $1$ 1.2.b $\times$ 2.2.a_ac
3.2.b_a_a $3$ $\F_{2}$ $1 + x + 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.b_c_a $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.b $\times$ 1.2.c
3.2.b_c_c $3$ $\F_{2}$ $1 + x + 2 x^{2} + 2 x^{3} + 4 x^{4} + 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.b_c_e $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ $1$ 1.2.a $\times$ 2.2.b_a
3.2.b_c_g $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ $1$ 1.2.ab $\times$ 2.2.c_c
3.2.b_e_c $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ $1$ 1.2.b $\times$ 2.2.a_c
3.2.b_e_e $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$ 1.2.ab $\times$ 1.2.a $\times$ 1.2.c
3.2.b_g_e $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} )^{2}$ $1$ 1.2.a 2 $\times$ 1.2.b
3.2.d_e_e $3$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ $1$ 1.2.c $\times$ 2.2.b_a
3.2.d_g_i $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )^{2}$ $1$ 1.2.ab $\times$ 1.2.c 2
3.2.d_g_k $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ $1$ 1.2.b $\times$ 2.2.c_c
3.2.d_i_m $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$ 1.2.a $\times$ 1.2.b $\times$ 1.2.c
3.2.f_o_y $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )^{2}$ $1$ 1.2.b $\times$ 1.2.c 2
3.3.ai_be_aco $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.ac
3.3.ah_y_abz $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.ab
3.3.af_m_av $3$ $\F_{3}$ $( 1 + x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.b
3.3.af_p_abe $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ac $\times$ 1.3.a
3.3.ae_g_ag $3$ $\F_{3}$ $( 1 + 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.c
3.3.ae_j_ap $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} - 3 x^{3} + 9 x^{4} )$ $1$ 1.3.ad $\times$ 2.3.ab_d
3.3.ae_m_ay $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )( 1 + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ab $\times$ 1.3.a
3.3.ac_ad_m $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 3 x^{2} )^{2}$ $1$ 1.3.ac $\times$ 2.3.a_ag
3.3.ac_a_d $3$ $\F_{3}$ $1 - 2 x + 3 x^{3} - 18 x^{5} + 27 x^{6}$ $1$ simple
3.3.ac_a_g $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ac $\times$ 1.3.d
3.3.ac_d_ag $3$ $\F_{3}$ $1 - 2 x + 3 x^{2} - 6 x^{3} + 9 x^{4} - 18 x^{5} + 27 x^{6}$ $1$ simple
3.3.ac_d_ad $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + x + 3 x^{2} + 3 x^{3} + 9 x^{4} )$ $1$ 1.3.ad $\times$ 2.3.b_d
3.3.ac_d_a $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 + 9 x^{4} )$ $1$ 1.3.ac $\times$ 2.3.a_a
3.3.ac_g_am $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} )( 1 + x + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.a $\times$ 1.3.b
3.3.ac_g_aj $3$ $\F_{3}$ $1 - 2 x + 6 x^{2} - 9 x^{3} + 18 x^{4} - 18 x^{5} + 27 x^{6}$ $1$ simple
3.3.ac_g_ag $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} + 9 x^{4} )$ $1$ 1.3.ac $\times$ 2.3.a_d
3.3.ac_j_am $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} )^{2}$ $1$ 1.3.ac $\times$ 1.3.a 2
3.3.ab_ad_g $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - 3 x^{2} )^{2}$ $1$ 1.3.ab $\times$ 2.3.a_ag
Next   displayed columns for results