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Base field Base char. Dimension $p$-rank Initial coefficients
Simple Geom. simple Primitive Princ. polarizable Jacobian
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Angle rank # Jacobians # Hyp. Jacobians # twists Max twist degree
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Results (1-50 of 380 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.3.aj_bk_add $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )^{3}$ $0$ 1.3.ad 3
3.3.ai_be_aco $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.ac
3.3.ah_x_abw $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ae_i
3.3.ah_y_abz $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.ab
3.3.ah_z_acc $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ $2$ 1.3.ad $\times$ 1.3.ac 2
3.3.ag_r_abh $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ad_f
3.3.ag_s_abk $3$ $\F_{3}$ $( 1 + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $0$ 1.3.ad 2 $\times$ 1.3.a
3.3.ag_t_abo $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ae_i
3.3.ag_t_abn $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ad_h
3.3.ag_u_abq $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 - x + 3 x^{2} )$ $2$ 1.3.ad $\times$ 1.3.ac $\times$ 1.3.ab
3.3.ag_v_abs $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )^{3}$ $3$ 1.3.ac 3
3.3.af_k_ap $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ac_b
3.3.af_l_as $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ac_c
3.3.af_m_av $3$ $\F_{3}$ $( 1 + x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.b
3.3.af_n_az $3$ $\F_{3}$ $1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 45 x^{5} + 27 x^{6}$ $3$ simple
3.3.af_n_ay $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ac_e
3.3.af_o_abc $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ad_f
3.3.af_o_abb $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ac_f
3.3.af_p_abg $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ $3$ 1.3.ab $\times$ 2.3.ae_i
3.3.af_p_abf $3$ $\F_{3}$ $1 - 5 x + 15 x^{2} - 31 x^{3} + 45 x^{4} - 45 x^{5} + 27 x^{6}$ $3$ simple
3.3.af_p_abe $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ac $\times$ 1.3.a
3.3.af_q_abh $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )^{2}$ $2$ 1.3.ad $\times$ 1.3.ab 2
3.3.af_q_abg $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ad_h
3.3.af_r_abi $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ $3$ 1.3.ac 2 $\times$ 1.3.ab
3.3.ae_e_a $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ab_ac
3.3.ae_f_ad $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ab_ab
3.3.ae_g_ah $3$ $\F_{3}$ $1 - 4 x + 6 x^{2} - 7 x^{3} + 18 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_g_ag $3$ $\F_{3}$ $( 1 + 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $1$ 1.3.ad 2 $\times$ 1.3.c
3.3.ae_h_aj $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + x^{2} - 3 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ab_b
3.3.ae_i_ao $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ac_b
3.3.ae_i_an $3$ $\F_{3}$ $1 - 4 x + 8 x^{2} - 13 x^{3} + 24 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_j_ap $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} - 3 x^{3} + 9 x^{4} )$ $1$ 1.3.ad $\times$ 2.3.ab_d
3.3.ae_k_av $3$ $\F_{3}$ $1 - 4 x + 10 x^{2} - 21 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6}$ $2$ simple
3.3.ae_k_at $3$ $\F_{3}$ $1 - 4 x + 10 x^{2} - 19 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_l_ax $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ $3$ 1.3.ab $\times$ 2.3.ad_f
3.3.ae_m_ax $3$ $\F_{3}$ $1 - 4 x + 12 x^{2} - 23 x^{3} + 36 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_m_aw $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ac_f
3.3.ae_n_az $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ $3$ 1.3.ab $\times$ 2.3.ad_h
3.3.ae_o_aba $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - x + 3 x^{2} )^{2}$ $3$ 1.3.ac $\times$ 1.3.ab 2
3.3.ad_ad_s $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 3 x^{2} )^{2}$ $0$ 1.3.ad $\times$ 2.3.a_ag
3.3.ad_ac_p $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 5 x^{2} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.a_af
3.3.ad_ab_m $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 4 x^{2} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.a_ae
3.3.ad_a_i $3$ $\F_{3}$ $1 - 3 x + 8 x^{3} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_a_j $3$ $\F_{3}$ $( 1 + 3 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ $0$ 1.3.ad 2 $\times$ 1.3.d
3.3.ad_b_f $3$ $\F_{3}$ $1 - 3 x + x^{2} + 5 x^{3} + 3 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_b_g $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x^{2} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.a_ac
3.3.ad_c_b $3$ $\F_{3}$ $1 - 3 x + 2 x^{2} + x^{3} + 6 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_c_c $3$ $\F_{3}$ $1 - 3 x + 2 x^{2} + 2 x^{3} + 6 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_c_d $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x^{2} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.a_ab
3.3.ad_d_a $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + 9 x^{4} )$ $0$ 1.3.ad $\times$ 2.3.a_a
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