↑

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 (9 matches)

  displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
4.3.ag_t_abq_cy $4$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )^{2}( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ $4$ 1.3.ac 2 $\times$ 2.3.ac_b
4.3.ae_g_aq_br $4$ $\F_{3}$ $( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )^{2}$ $4$ 2.3.ac_b 2
4.3.ac_d_ak_u $4$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ $4$ 1.3.ac $\times$ 1.3.c $\times$ 2.3.ac_b
4.3.ac_d_k_au $4$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )^{2}( 1 + 2 x + x^{2} + 6 x^{3} + 9 x^{4} )$ $4$ 1.3.ac 2 $\times$ 2.3.c_b
4.3.a_ac_a_af $4$ $\F_{3}$ $( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )( 1 + 2 x + x^{2} + 6 x^{3} + 9 x^{4} )$ $4$ 2.3.ac_b $\times$ 2.3.c_b
4.3.c_d_ak_au $4$ $\F_{3}$ $( 1 + 2 x + 3 x^{2} )^{2}( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ $4$ 1.3.c 2 $\times$ 2.3.ac_b
4.3.c_d_k_u $4$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )( 1 + 2 x + x^{2} + 6 x^{3} + 9 x^{4} )$ $4$ 1.3.ac $\times$ 1.3.c $\times$ 2.3.c_b
4.3.e_g_q_br $4$ $\F_{3}$ $( 1 + 2 x + x^{2} + 6 x^{3} + 9 x^{4} )^{2}$ $4$ 2.3.c_b 2
4.3.g_t_bq_cy $4$ $\F_{3}$ $( 1 + 2 x + 3 x^{2} )^{2}( 1 + 2 x + x^{2} + 6 x^{3} + 9 x^{4} )$ $4$ 1.3.c 2 $\times$ 2.3.c_b
  displayed columns for results