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Note: Search results may be incomplete due to uncomputed quantities: jacobian_count (2316480 objects)

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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
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Results (1-50 of 343 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.5.ae_e_c $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - x - 4 x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ad $\times$ 2.5.ab_ae
3.5.ae_h_am $3$ $\F_{5}$ $1 - 4 x + 7 x^{2} - 12 x^{3} + 35 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_i_ao $3$ $\F_{5}$ $1 - 4 x + 8 x^{2} - 14 x^{3} + 40 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_i_ak $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - x - 5 x^{3} + 25 x^{4} )$ $2$ 1.5.ad $\times$ 2.5.ab_a
3.5.ae_j_aq $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 + 4 x^{2} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.a_e
3.5.ae_l_abc $3$ $\F_{5}$ $1 - 4 x + 11 x^{2} - 28 x^{3} + 55 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_l_ay $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )( 1 + 2 x + 5 x^{2} )$ $3$ 1.5.ae $\times$ 1.5.ac $\times$ 1.5.c
3.5.ae_n_abc $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 2 x + 4 x^{2} - 10 x^{3} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.ac_e
3.5.ad_a_m $3$ $\F_{5}$ $1 - 3 x + 12 x^{3} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_a_p $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - 5 x^{2} + 25 x^{4} )$ $1$ 1.5.ad $\times$ 2.5.a_af
3.5.ad_b_g $3$ $\F_{5}$ $1 - 3 x + x^{2} + 6 x^{3} + 5 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_b_j $3$ $\F_{5}$ $1 - 3 x + x^{2} + 9 x^{3} + 5 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_c_e $3$ $\F_{5}$ $1 - 3 x + 2 x^{2} + 4 x^{3} + 10 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_c_f $3$ $\F_{5}$ $1 - 3 x + 2 x^{2} + 5 x^{3} + 10 x^{4} - 75 x^{5} + 125 x^{6}$ $2$ simple
3.5.ad_d_ad $3$ $\F_{5}$ $1 - 3 x + 3 x^{2} - 3 x^{3} + 15 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_d_ac $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - x - 4 x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.ab_ae
3.5.ad_d_c $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 + x + 2 x^{2} + 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.b_c
3.5.ad_d_d $3$ $\F_{5}$ $1 - 3 x + 3 x^{2} + 3 x^{3} + 15 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_e_ag $3$ $\F_{5}$ $1 - 3 x + 4 x^{2} - 6 x^{3} + 20 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_e_a $3$ $\F_{5}$ $1 - 3 x + 4 x^{2} + 20 x^{4} - 75 x^{5} + 125 x^{6}$ $2$ simple
3.5.ad_f_al $3$ $\F_{5}$ $1 - 3 x + 5 x^{2} - 11 x^{3} + 25 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_f_af $3$ $\F_{5}$ $1 - 3 x + 5 x^{2} - 5 x^{3} + 25 x^{4} - 75 x^{5} + 125 x^{6}$ $1$ simple
3.5.ad_g_am $3$ $\F_{5}$ $1 - 3 x + 6 x^{2} - 12 x^{3} + 30 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_h_as $3$ $\F_{5}$ $1 - 3 x + 7 x^{2} - 18 x^{3} + 35 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_h_ap $3$ $\F_{5}$ $1 - 3 x + 7 x^{2} - 15 x^{3} + 35 x^{4} - 75 x^{5} + 125 x^{6}$ $2$ simple
3.5.ad_h_ak $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - x - 5 x^{3} + 25 x^{4} )$ $2$ 1.5.ac $\times$ 2.5.ab_a
3.5.ad_h_aj $3$ $\F_{5}$ $1 - 3 x + 7 x^{2} - 9 x^{3} + 35 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_i_aq $3$ $\F_{5}$ $1 - 3 x + 8 x^{2} - 16 x^{3} + 40 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_j_as $3$ $\F_{5}$ $1 - 3 x + 9 x^{2} - 18 x^{3} + 45 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_ad_q $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 8 x^{2} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.a_ai
3.5.ac_ac_k $3$ $\F_{5}$ $1 - 2 x - 2 x^{2} + 10 x^{3} - 10 x^{4} - 50 x^{5} + 125 x^{6}$ $2$ simple
3.5.ac_ac_s $3$ $\F_{5}$ $1 - 2 x - 2 x^{2} + 18 x^{3} - 10 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_ab_e $3$ $\F_{5}$ $1 - 2 x - x^{2} + 4 x^{3} - 5 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_ab_i $3$ $\F_{5}$ $1 - 2 x - x^{2} + 8 x^{3} - 5 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_ab_m $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ $3$ 1.5.ae $\times$ 1.5.ac $\times$ 1.5.e
3.5.ac_ab_q $3$ $\F_{5}$ $1 - 2 x - x^{2} + 16 x^{3} - 5 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_a_g $3$ $\F_{5}$ $1 - 2 x + 6 x^{3} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_a_h $3$ $\F_{5}$ $1 - 2 x + 7 x^{3} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_a_k $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 5 x^{2} + 25 x^{4} )$ $1$ 1.5.ac $\times$ 2.5.a_af
3.5.ac_b_ac $3$ $\F_{5}$ $1 - 2 x + x^{2} - 2 x^{3} + 5 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_b_a $3$ $\F_{5}$ $1 - 2 x + x^{2} + 5 x^{4} - 50 x^{5} + 125 x^{6}$ $2$ simple
3.5.ac_b_e $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 + 2 x + 4 x^{2} + 10 x^{3} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.c_e
3.5.ac_b_i $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 4 x^{2} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.a_ae
3.5.ac_c_ag $3$ $\F_{5}$ $( 1 - x + 5 x^{2} )( 1 - x - 4 x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ab $\times$ 2.5.ab_ae
3.5.ac_c_af $3$ $\F_{5}$ $1 - 2 x + 2 x^{2} - 5 x^{3} + 10 x^{4} - 50 x^{5} + 125 x^{6}$ $2$ simple
3.5.ac_c_ac $3$ $\F_{5}$ $1 - 2 x + 2 x^{2} - 2 x^{3} + 10 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_c_b $3$ $\F_{5}$ $1 - 2 x + 2 x^{2} + x^{3} + 10 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_c_c $3$ $\F_{5}$ $1 - 2 x + 2 x^{2} + 2 x^{3} + 10 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_c_e $3$ $\F_{5}$ $1 - 2 x + 2 x^{2} + 4 x^{3} + 10 x^{4} - 50 x^{5} + 125 x^{6}$ $3$ simple
3.5.ac_c_f $3$ $\F_{5}$ $1 - 2 x + 2 x^{2} + 5 x^{3} + 10 x^{4} - 50 x^{5} + 125 x^{6}$ $2$ simple
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