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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
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Results (1-50 of 216 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.5.ag_m_aq $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 2 x - x^{2} - 10 x^{3} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.ac_ab
3.5.ag_n_au $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 2 x - 10 x^{3} + 25 x^{4} )$ $2$ 1.5.ae $\times$ 2.5.ac_a
3.5.ag_q_abh $3$ $\F_{5}$ $1 - 6 x + 16 x^{2} - 33 x^{3} + 80 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_r_abm $3$ $\F_{5}$ $1 - 6 x + 17 x^{2} - 38 x^{3} + 85 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_r_abl $3$ $\F_{5}$ $1 - 6 x + 17 x^{2} - 37 x^{3} + 85 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_t_abu $3$ $\F_{5}$ $1 - 6 x + 19 x^{2} - 46 x^{3} + 95 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_u_abw $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )( 1 + x + 5 x^{2} )$ $3$ 1.5.ae $\times$ 1.5.ad $\times$ 1.5.b
3.5.ag_v_acc $3$ $\F_{5}$ $1 - 6 x + 21 x^{2} - 54 x^{3} + 105 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_w_acg $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 4 x + 9 x^{2} - 20 x^{3} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.ae_j
3.5.ag_y_acm $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - x + 5 x^{2} )^{2}$ $3$ 1.5.ae $\times$ 1.5.ab 2
3.5.ag_y_aci $3$ $\F_{5}$ $( 1 + 5 x^{2} )( 1 - 3 x + 5 x^{2} )^{2}$ $2$ 1.5.ad 2 $\times$ 1.5.a
3.5.af_f_g $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - x - 4 x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.ab_ae
3.5.af_j_am $3$ $\F_{5}$ $1 - 5 x + 9 x^{2} - 12 x^{3} + 45 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_j_ak $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - x - 5 x^{3} + 25 x^{4} )$ $2$ 1.5.ae $\times$ 2.5.ab_a
3.5.af_m_az $3$ $\F_{5}$ $1 - 5 x + 12 x^{2} - 25 x^{3} + 60 x^{4} - 125 x^{5} + 125 x^{6}$ $2$ simple
3.5.af_p_abl $3$ $\F_{5}$ $1 - 5 x + 15 x^{2} - 37 x^{3} + 75 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_q_abr $3$ $\F_{5}$ $( 1 + x + 5 x^{2} )( 1 - 6 x + 17 x^{2} - 30 x^{3} + 25 x^{4} )$ $3$ 1.5.b $\times$ 2.5.ag_r
3.5.af_q_abl $3$ $\F_{5}$ $1 - 5 x + 16 x^{2} - 37 x^{3} + 80 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_r_abv $3$ $\F_{5}$ $1 - 5 x + 17 x^{2} - 47 x^{3} + 85 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_r_abs $3$ $\F_{5}$ $1 - 5 x + 17 x^{2} - 44 x^{3} + 85 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_t_aby $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - x + 5 x^{2} )( 1 + 5 x^{2} )$ $2$ 1.5.ae $\times$ 1.5.ab $\times$ 1.5.a
3.5.af_t_abv $3$ $\F_{5}$ $1 - 5 x + 19 x^{2} - 47 x^{3} + 95 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_t_abt $3$ $\F_{5}$ $1 - 5 x + 19 x^{2} - 45 x^{3} + 95 x^{4} - 125 x^{5} + 125 x^{6}$ $2$ simple
3.5.af_u_aby $3$ $\F_{5}$ $( 1 + 5 x^{2} )( 1 - 5 x + 15 x^{2} - 25 x^{3} + 25 x^{4} )$ $0$ 1.5.a $\times$ 2.5.af_p
3.5.af_v_aby $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )( 1 + 5 x^{2} )$ $2$ 1.5.ad $\times$ 1.5.ac $\times$ 1.5.a
3.5.ae_ad_bg $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 8 x^{2} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.a_ai
3.5.ae_ab_x $3$ $\F_{5}$ $1 - 4 x - x^{2} + 23 x^{3} - 5 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_a_t $3$ $\F_{5}$ $1 - 4 x + 19 x^{3} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_b_p $3$ $\F_{5}$ $1 - 4 x + x^{2} + 15 x^{3} + 5 x^{4} - 100 x^{5} + 125 x^{6}$ $2$ simple
3.5.ae_c_j $3$ $\F_{5}$ $1 - 4 x + 2 x^{2} + 9 x^{3} + 10 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_c_m $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 3 x^{2} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.a_ad
3.5.ae_d_h $3$ $\F_{5}$ $1 - 4 x + 3 x^{2} + 7 x^{3} + 15 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_e_a $3$ $\F_{5}$ $1 - 4 x + 4 x^{2} + 20 x^{4} - 100 x^{5} + 125 x^{6}$ $2$ simple
3.5.ae_j_av $3$ $\F_{5}$ $1 - 4 x + 9 x^{2} - 21 x^{3} + 45 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_j_an $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - x + x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ad $\times$ 2.5.ab_b
3.5.ae_l_abe $3$ $\F_{5}$ $1 - 4 x + 11 x^{2} - 30 x^{3} + 55 x^{4} - 100 x^{5} + 125 x^{6}$ $2$ simple
3.5.ae_m_abh $3$ $\F_{5}$ $1 - 4 x + 12 x^{2} - 33 x^{3} + 60 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_m_abg $3$ $\F_{5}$ $1 - 4 x + 12 x^{2} - 32 x^{3} + 60 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_m_abd $3$ $\F_{5}$ $1 - 4 x + 12 x^{2} - 29 x^{3} + 60 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_m_ay $3$ $\F_{5}$ $1 - 4 x + 12 x^{2} - 24 x^{3} + 60 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_n_abl $3$ $\F_{5}$ $( 1 + x + 5 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 25 x^{4} )$ $3$ 1.5.b $\times$ 2.5.af_n
3.5.ae_n_abj $3$ $\F_{5}$ $( 1 - x + 5 x^{2} )( 1 - 3 x + 5 x^{2} - 15 x^{3} + 25 x^{4} )$ $2$ 1.5.ab $\times$ 2.5.ad_f
3.5.ae_n_abb $3$ $\F_{5}$ $1 - 4 x + 13 x^{2} - 27 x^{3} + 65 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_p_abm $3$ $\F_{5}$ $1 - 4 x + 15 x^{2} - 38 x^{3} + 75 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_p_abl $3$ $\F_{5}$ $( 1 - x + 5 x^{2} )( 1 - 3 x + 7 x^{2} - 15 x^{3} + 25 x^{4} )$ $3$ 1.5.ab $\times$ 2.5.ad_h
3.5.ae_q_abk $3$ $\F_{5}$ $1 - 4 x + 16 x^{2} - 36 x^{3} + 80 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_r_abm $3$ $\F_{5}$ $1 - 4 x + 17 x^{2} - 38 x^{3} + 85 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_r_abl $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - x + 9 x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ad $\times$ 2.5.ab_j
3.5.ae_r_abk $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 2 x + 8 x^{2} - 10 x^{3} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.ac_i
3.5.ad_ae_ba $3$ $\F_{5}$ $1 - 3 x - 4 x^{2} + 26 x^{3} - 20 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
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