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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 218 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.5.ag_p_abd $3$ $\F_{5}$ $1 - 6 x + 15 x^{2} - 29 x^{3} + 75 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_s_abp $3$ $\F_{5}$ $1 - 6 x + 18 x^{2} - 41 x^{3} + 90 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_t_abt $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} - 15 x^{3} + 25 x^{4} )$ $2$ 1.5.ad $\times$ 2.5.ad_f
3.5.ag_u_abx $3$ $\F_{5}$ $1 - 6 x + 20 x^{2} - 49 x^{3} + 100 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_v_acd $3$ $\F_{5}$ $1 - 6 x + 21 x^{2} - 55 x^{3} + 105 x^{4} - 150 x^{5} + 125 x^{6}$ $2$ simple
3.5.ag_v_acb $3$ $\F_{5}$ $1 - 6 x + 21 x^{2} - 53 x^{3} + 105 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_w_acf $3$ $\F_{5}$ $1 - 6 x + 22 x^{2} - 57 x^{3} + 110 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_x_ack $3$ $\F_{5}$ $1 - 6 x + 23 x^{2} - 62 x^{3} + 115 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_x_ach $3$ $\F_{5}$ $1 - 6 x + 23 x^{2} - 59 x^{3} + 115 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_x_acg $3$ $\F_{5}$ $1 - 6 x + 23 x^{2} - 58 x^{3} + 115 x^{4} - 150 x^{5} + 125 x^{6}$ $3$ simple
3.5.ag_y_ack $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 4 x + 11 x^{2} - 20 x^{3} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.ae_l
3.5.ag_z_acm $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 4 x + 12 x^{2} - 20 x^{3} + 25 x^{4} )$ $3$ 1.5.ac $\times$ 2.5.ae_m
3.5.af_e_k $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - x - 5 x^{2} - 5 x^{3} + 25 x^{4} )$ $2$ 1.5.ae $\times$ 2.5.ab_af
3.5.af_g_b $3$ $\F_{5}$ $1 - 5 x + 6 x^{2} + x^{3} + 30 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_n_abc $3$ $\F_{5}$ $1 - 5 x + 13 x^{2} - 28 x^{3} + 65 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_o_abh $3$ $\F_{5}$ $1 - 5 x + 14 x^{2} - 33 x^{3} + 70 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_p_abg $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - 2 x + 4 x^{2} - 10 x^{3} + 25 x^{4} )$ $3$ 1.5.ad $\times$ 2.5.ac_e
3.5.af_q_abq $3$ $\F_{5}$ $1 - 5 x + 16 x^{2} - 42 x^{3} + 80 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_q_abn $3$ $\F_{5}$ $1 - 5 x + 16 x^{2} - 39 x^{3} + 80 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_r_abo $3$ $\F_{5}$ $1 - 5 x + 17 x^{2} - 40 x^{3} + 85 x^{4} - 125 x^{5} + 125 x^{6}$ $2$ simple
3.5.af_r_abn $3$ $\F_{5}$ $1 - 5 x + 17 x^{2} - 39 x^{3} + 85 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_s_abu $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - x + 9 x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ae $\times$ 2.5.ab_j
3.5.af_s_abt $3$ $\F_{5}$ $1 - 5 x + 18 x^{2} - 45 x^{3} + 90 x^{4} - 125 x^{5} + 125 x^{6}$ $2$ simple
3.5.af_s_abr $3$ $\F_{5}$ $1 - 5 x + 18 x^{2} - 43 x^{3} + 90 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_t_abx $3$ $\F_{5}$ $1 - 5 x + 19 x^{2} - 49 x^{3} + 95 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_t_abw $3$ $\F_{5}$ $1 - 5 x + 19 x^{2} - 48 x^{3} + 95 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_u_abz $3$ $\F_{5}$ $( 1 - x + 5 x^{2} )( 1 - 4 x + 11 x^{2} - 20 x^{3} + 25 x^{4} )$ $3$ 1.5.ab $\times$ 2.5.ae_l
3.5.af_u_abx $3$ $\F_{5}$ $1 - 5 x + 20 x^{2} - 49 x^{3} + 100 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.af_u_abv $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - 2 x + 9 x^{2} - 10 x^{3} + 25 x^{4} )$ $3$ 1.5.ad $\times$ 2.5.ac_j
3.5.af_v_abz $3$ $\F_{5}$ $1 - 5 x + 21 x^{2} - 51 x^{3} + 105 x^{4} - 125 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_ac_bb $3$ $\F_{5}$ $1 - 4 x - 2 x^{2} + 27 x^{3} - 10 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_ab_y $3$ $\F_{5}$ $( 1 + 4 x + 5 x^{2} )( 1 - 4 x + 5 x^{2} )^{2}$ $3$ 1.5.ae 2 $\times$ 1.5.e
3.5.ae_f_ad $3$ $\F_{5}$ $1 - 4 x + 5 x^{2} - 3 x^{3} + 25 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_f_b $3$ $\F_{5}$ $1 - 4 x + 5 x^{2} + x^{3} + 25 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_l_abf $3$ $\F_{5}$ $1 - 4 x + 11 x^{2} - 31 x^{3} + 55 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_m_abk $3$ $\F_{5}$ $1 - 4 x + 12 x^{2} - 36 x^{3} + 60 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_o_abn $3$ $\F_{5}$ $1 - 4 x + 14 x^{2} - 39 x^{3} + 70 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_o_abl $3$ $\F_{5}$ $1 - 4 x + 14 x^{2} - 37 x^{3} + 70 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_p_abn $3$ $\F_{5}$ $1 - 4 x + 15 x^{2} - 39 x^{3} + 75 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_p_abh $3$ $\F_{5}$ $1 - 4 x + 15 x^{2} - 33 x^{3} + 75 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_p_abf $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - x + 7 x^{2} - 5 x^{3} + 25 x^{4} )$ $3$ 1.5.ad $\times$ 2.5.ab_h
3.5.ae_q_abn $3$ $\F_{5}$ $1 - 4 x + 16 x^{2} - 39 x^{3} + 80 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ae_q_abj $3$ $\F_{5}$ $1 - 4 x + 16 x^{2} - 35 x^{3} + 80 x^{4} - 100 x^{5} + 125 x^{6}$ $2$ simple
3.5.ae_s_abn $3$ $\F_{5}$ $1 - 4 x + 18 x^{2} - 39 x^{3} + 90 x^{4} - 100 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_ae_bb $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 - 9 x^{2} + 25 x^{4} )$ $3$ 1.5.ad $\times$ 2.5.a_aj
3.5.ad_ae_bd $3$ $\F_{5}$ $1 - 3 x - 4 x^{2} + 29 x^{3} - 20 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_ae_be $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 + x - 5 x^{2} + 5 x^{3} + 25 x^{4} )$ $2$ 1.5.ae $\times$ 2.5.b_af
3.5.ad_ad_bb $3$ $\F_{5}$ $1 - 3 x - 3 x^{2} + 27 x^{3} - 15 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_j_abf $3$ $\F_{5}$ $1 - 3 x + 9 x^{2} - 31 x^{3} + 45 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
3.5.ad_k_abd $3$ $\F_{5}$ $1 - 3 x + 10 x^{2} - 29 x^{3} + 50 x^{4} - 75 x^{5} + 125 x^{6}$ $3$ simple
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