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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 166 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.3.ae_h_ak $3$ $\F_{3}$ $1 - 4 x + 7 x^{2} - 10 x^{3} + 21 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_i_am $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 2 x^{2} - 3 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ab_c
3.3.ae_j_ar $3$ $\F_{3}$ $1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_k_au $3$ $\F_{3}$ $1 - 4 x + 10 x^{2} - 20 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_k_as $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + x + 3 x^{2} )$ $2$ 1.3.ad $\times$ 1.3.ac $\times$ 1.3.b
3.3.ae_l_ay $3$ $\F_{3}$ $( 1 + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ $2$ 1.3.a $\times$ 2.3.ae_i
3.3.ae_l_aw $3$ $\F_{3}$ $1 - 4 x + 11 x^{2} - 22 x^{3} + 33 x^{4} - 36 x^{5} + 27 x^{6}$ $3$ simple
3.3.ae_l_av $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 5 x^{2} - 3 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.ab_f
3.3.ae_l_au $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ac_e
3.3.ae_m_ay $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )( 1 + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ab $\times$ 1.3.a
3.3.ae_n_ay $3$ $\F_{3}$ $( 1 + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ $2$ 1.3.ac 2 $\times$ 1.3.a
3.3.ad_d_ac $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ab_ac
3.3.ad_d_ab $3$ $\F_{3}$ $1 - 3 x + 3 x^{2} - x^{3} + 9 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_e_ag $3$ $\F_{3}$ $1 - 3 x + 4 x^{2} - 6 x^{3} + 12 x^{4} - 27 x^{5} + 27 x^{6}$ $2$ simple
3.3.ad_e_ae $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.ab_ab
3.3.ad_f_ai $3$ $\F_{3}$ $1 - 3 x + 5 x^{2} - 8 x^{3} + 15 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_f_ag $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )$ $2$ 1.3.ad $\times$ 1.3.ac $\times$ 1.3.c
3.3.ad_f_af $3$ $\F_{3}$ $1 - 3 x + 5 x^{2} - 5 x^{3} + 15 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_g_am $3$ $\F_{3}$ $1 - 3 x + 6 x^{2} - 12 x^{3} + 18 x^{4} - 27 x^{5} + 27 x^{6}$ $0$ simple
3.3.ad_g_ak $3$ $\F_{3}$ $1 - 3 x + 6 x^{2} - 10 x^{3} + 18 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_h_aq $3$ $\F_{3}$ $( 1 + x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ $3$ 1.3.b $\times$ 2.3.ae_i
3.3.ad_h_ap $3$ $\F_{3}$ $1 - 3 x + 7 x^{2} - 15 x^{3} + 21 x^{4} - 27 x^{5} + 27 x^{6}$ $2$ simple
3.3.ad_h_am $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + 4 x^{2} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.a_e
3.3.ad_i_aq $3$ $\F_{3}$ $1 - 3 x + 8 x^{2} - 16 x^{3} + 24 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_i_ao $3$ $\F_{3}$ $1 - 3 x + 8 x^{2} - 14 x^{3} + 24 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_j_ar $3$ $\F_{3}$ $1 - 3 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 27 x^{5} + 27 x^{6}$ $3$ simple
3.3.ad_j_ap $3$ $\F_{3}$ $1 - 3 x + 9 x^{2} - 15 x^{3} + 27 x^{4} - 27 x^{5} + 27 x^{6}$ $0$ simple
3.3.ac_a_c $3$ $\F_{3}$ $1 - 2 x + 2 x^{3} - 18 x^{5} + 27 x^{6}$ $3$ simple
3.3.ac_a_e $3$ $\F_{3}$ $1 - 2 x + 4 x^{3} - 18 x^{5} + 27 x^{6}$ $3$ simple
3.3.ac_a_g $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ac $\times$ 1.3.d
3.3.ac_b_c $3$ $\F_{3}$ $1 - 2 x + x^{2} + 2 x^{3} + 3 x^{4} - 18 x^{5} + 27 x^{6}$ $3$ simple
3.3.ac_b_d $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + x + x^{2} + 3 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.b_b
3.3.ac_b_e $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - 2 x^{2} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.a_ac
3.3.ac_d_ah $3$ $\F_{3}$ $1 - 2 x + 3 x^{2} - 7 x^{3} + 9 x^{4} - 18 x^{5} + 27 x^{6}$ $3$ simple
3.3.ac_d_af $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ $3$ 1.3.ab $\times$ 2.3.ab_ab
3.3.ac_d_ad $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + x + 3 x^{2} + 3 x^{3} + 9 x^{4} )$ $1$ 1.3.ad $\times$ 2.3.b_d
3.3.ac_d_ac $3$ $\F_{3}$ $1 - 2 x + 3 x^{2} - 2 x^{3} + 9 x^{4} - 18 x^{5} + 27 x^{6}$ $3$ simple
3.3.ac_f_aj $3$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + x + 5 x^{2} + 3 x^{3} + 9 x^{4} )$ $2$ 1.3.ad $\times$ 2.3.b_f
3.3.ac_f_ah $3$ $\F_{3}$ $( 1 - x + 3 x^{2} )( 1 - x + x^{2} - 3 x^{3} + 9 x^{4} )$ $3$ 1.3.ab $\times$ 2.3.ab_b
3.3.ac_f_ag $3$ $\F_{3}$ $1 - 2 x + 5 x^{2} - 6 x^{3} + 15 x^{4} - 18 x^{5} + 27 x^{6}$ $2$ simple
3.3.ac_f_af $3$ $\F_{3}$ $1 - 2 x + 5 x^{2} - 5 x^{3} + 15 x^{4} - 18 x^{5} + 27 x^{6}$ $3$ simple
3.3.ac_f_ae $3$ $\F_{3}$ $( 1 + 2 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ $3$ 1.3.ac 2 $\times$ 1.3.c
3.3.ac_h_al $3$ $\F_{3}$ $( 1 + x + 3 x^{2} )( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ $3$ 1.3.b $\times$ 2.3.ad_h
3.3.ac_h_ak $3$ $\F_{3}$ $1 - 2 x + 7 x^{2} - 10 x^{3} + 21 x^{4} - 18 x^{5} + 27 x^{6}$ $3$ simple
3.3.ac_h_ai $3$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 + 4 x^{2} + 9 x^{4} )$ $3$ 1.3.ac $\times$ 2.3.a_e
3.3.ab_ac_g $3$ $\F_{3}$ $1 - x - 2 x^{2} + 6 x^{3} - 6 x^{4} - 9 x^{5} + 27 x^{6}$ $2$ simple
3.3.ab_ab_a $3$ $\F_{3}$ $( 1 + 3 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ $2$ 1.3.d $\times$ 2.3.ae_i
3.3.ab_ab_b $3$ $\F_{3}$ $1 - x - x^{2} + x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ $3$ simple
3.3.ab_ab_f $3$ $\F_{3}$ $1 - x - x^{2} + 5 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ $3$ simple
3.3.ab_ab_h $3$ $\F_{3}$ $1 - x - x^{2} + 7 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ $3$ simple
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