↑

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 (28 matches)

  displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
6.2.ag_s_abg_bg_ai_aq $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $0$ 1.2.ac 2 $\times$ 4.2.ac_c_a_ae
6.2.ae_g_a_ai_a_q $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $0$ 1.2.ac 2 $\times$ 4.2.a_ac_a_e
6.2.ae_k_aq_q_ai_a $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.a $\times$ 4.2.ac_c_a_ae
6.2.ae_k_aq_y_abg_bw $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $0$ 1.2.ac 2 $\times$ 4.2.a_c_a_e
6.2.ac_ac_i_ai_ai_bg $6$ $\F_{2}$ $( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $0$ 2.2.a_ae $\times$ 4.2.ac_c_a_ae
6.2.ac_c_a_a_ai_q $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.c $\times$ 4.2.ac_c_a_ae
6.2.ac_c_a_a_a_a $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.a $\times$ 4.2.a_ac_a_e
6.2.ac_c_a_a_i_aq $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $0$ 1.2.ac 2 $\times$ 4.2.c_c_a_ae
6.2.ac_g_ai_i_ai_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $0$ 1.2.a 2 $\times$ 4.2.ac_c_a_ae
6.2.ac_g_ai_q_aq_bg $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.a $\times$ 4.2.a_c_a_e
6.2.a_ag_a_q_a_abg $6$ $\F_{2}$ $( 1 - 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $0$ 2.2.a_ae $\times$ 4.2.a_ac_a_e
6.2.a_ac_a_a_a_a $6$ $\F_{2}$ $( 1 - 2 x^{2} )^{2}( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $0$ 2.2.a_ae $\times$ 4.2.a_c_a_e
6.2.a_ac_a_i_a_aq $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.c $\times$ 4.2.a_ac_a_e
6.2.a_c_a_a_ai_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $0$ 1.2.a $\times$ 1.2.c $\times$ 4.2.ac_c_a_ae
6.2.a_c_a_a_a_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $0$ 1.2.a 2 $\times$ 4.2.a_ac_a_e
6.2.a_c_a_a_i_a $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.a $\times$ 4.2.c_c_a_ae
6.2.a_c_a_i_a_q $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.c $\times$ 4.2.a_c_a_e
6.2.a_g_a_q_a_bg $6$ $\F_{2}$ $( 1 + 2 x^{2} )^{2}( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $0$ 1.2.a 2 $\times$ 4.2.a_c_a_e
6.2.c_ac_ai_ai_i_bg $6$ $\F_{2}$ $( 1 - 2 x^{2} )^{2}( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $0$ 2.2.a_ae $\times$ 4.2.c_c_a_ae
6.2.c_c_a_a_ai_aq $6$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $0$ 1.2.c 2 $\times$ 4.2.ac_c_a_ae
6.2.c_c_a_a_a_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $0$ 1.2.a $\times$ 1.2.c $\times$ 4.2.a_ac_a_e
6.2.c_c_a_a_i_q $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.c $\times$ 4.2.c_c_a_ae
6.2.c_g_i_i_i_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )^{2}( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $0$ 1.2.a 2 $\times$ 4.2.c_c_a_ae
6.2.c_g_i_q_q_bg $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $0$ 1.2.a $\times$ 1.2.c $\times$ 4.2.a_c_a_e
6.2.e_g_a_ai_a_q $6$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $0$ 1.2.c 2 $\times$ 4.2.a_ac_a_e
6.2.e_k_q_q_i_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $0$ 1.2.a $\times$ 1.2.c $\times$ 4.2.c_c_a_ae
6.2.e_k_q_y_bg_bw $6$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )^{2}( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $0$ 1.2.c 2 $\times$ 4.2.a_c_a_e
6.2.g_s_bg_bg_i_aq $6$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )^{2}( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $0$ 1.2.c 2 $\times$ 4.2.c_c_a_ae
  displayed columns for results