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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 129 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.16.am_cn $2$ $\F_{2^{4}}$ $1 - 12 x + 65 x^{2} - 192 x^{3} + 256 x^{4}$ $2$ simple
2.16.am_cp $2$ $\F_{2^{4}}$ $( 1 - 7 x + 16 x^{2} )( 1 - 5 x + 16 x^{2} )$ $2$ 1.16.ah $\times$ 1.16.af
2.16.al_cf $2$ $\F_{2^{4}}$ $1 - 11 x + 57 x^{2} - 176 x^{3} + 256 x^{4}$ $2$ simple
2.16.al_ch $2$ $\F_{2^{4}}$ $1 - 11 x + 59 x^{2} - 176 x^{3} + 256 x^{4}$ $2$ simple
2.16.al_cj $2$ $\F_{2^{4}}$ $1 - 11 x + 61 x^{2} - 176 x^{3} + 256 x^{4}$ $2$ simple
2.16.ak_bz $2$ $\F_{2^{4}}$ $1 - 10 x + 51 x^{2} - 160 x^{3} + 256 x^{4}$ $2$ simple
2.16.ak_cd $2$ $\F_{2^{4}}$ $1 - 10 x + 55 x^{2} - 160 x^{3} + 256 x^{4}$ $2$ simple
2.16.ak_cf $2$ $\F_{2^{4}}$ $( 1 - 5 x + 16 x^{2} )^{2}$ $2$ 1.16.af 2
2.16.aj_bp $2$ $\F_{2^{4}}$ $1 - 9 x + 41 x^{2} - 144 x^{3} + 256 x^{4}$ $2$ simple
2.16.aj_bs $2$ $\F_{2^{4}}$ $1 - 9 x + 44 x^{2} - 144 x^{3} + 256 x^{4}$ $1$ simple
2.16.aj_bv $2$ $\F_{2^{4}}$ $1 - 9 x + 47 x^{2} - 144 x^{3} + 256 x^{4}$ $2$ simple
2.16.aj_bw $2$ $\F_{2^{4}}$ $1 - 9 x + 48 x^{2} - 144 x^{3} + 256 x^{4}$ $1$ simple
2.16.aj_bz $2$ $\F_{2^{4}}$ $1 - 9 x + 51 x^{2} - 144 x^{3} + 256 x^{4}$ $2$ simple
2.16.ai_bg $2$ $\F_{2^{4}}$ $( 1 - 4 x )^{2}( 1 + 16 x^{2} )$ $0$ 1.16.ai $\times$ 1.16.a
2.16.ai_bh $2$ $\F_{2^{4}}$ $1 - 8 x + 33 x^{2} - 128 x^{3} + 256 x^{4}$ $2$ simple
2.16.ai_bw $2$ $\F_{2^{4}}$ $( 1 - 4 x + 16 x^{2} )^{2}$ $0$ 1.16.ae 2
2.16.ah_z $2$ $\F_{2^{4}}$ $1 - 7 x + 25 x^{2} - 112 x^{3} + 256 x^{4}$ $2$ simple
2.16.ah_bc $2$ $\F_{2^{4}}$ $1 - 7 x + 28 x^{2} - 112 x^{3} + 256 x^{4}$ $1$ simple
2.16.ah_bg $2$ $\F_{2^{4}}$ $( 1 - 7 x + 16 x^{2} )( 1 + 16 x^{2} )$ $1$ 1.16.ah $\times$ 1.16.a
2.16.ah_bj $2$ $\F_{2^{4}}$ $1 - 7 x + 35 x^{2} - 112 x^{3} + 256 x^{4}$ $2$ simple
2.16.ah_bk $2$ $\F_{2^{4}}$ $1 - 7 x + 36 x^{2} - 112 x^{3} + 256 x^{4}$ $1$ simple
2.16.ah_bn $2$ $\F_{2^{4}}$ $1 - 7 x + 39 x^{2} - 112 x^{3} + 256 x^{4}$ $2$ simple
2.16.ah_bp $2$ $\F_{2^{4}}$ $1 - 7 x + 41 x^{2} - 112 x^{3} + 256 x^{4}$ $2$ simple
2.16.ah_br $2$ $\F_{2^{4}}$ $1 - 7 x + 43 x^{2} - 112 x^{3} + 256 x^{4}$ $2$ simple
2.16.ag_bp $2$ $\F_{2^{4}}$ $( 1 - 3 x + 16 x^{2} )^{2}$ $2$ 1.16.ad 2
2.16.af_l $2$ $\F_{2^{4}}$ $1 - 5 x + 11 x^{2} - 80 x^{3} + 256 x^{4}$ $2$ simple
2.16.af_m $2$ $\F_{2^{4}}$ $1 - 5 x + 12 x^{2} - 80 x^{3} + 256 x^{4}$ $1$ simple
2.16.af_n $2$ $\F_{2^{4}}$ $1 - 5 x + 13 x^{2} - 80 x^{3} + 256 x^{4}$ $2$ simple
2.16.af_q $2$ $\F_{2^{4}}$ $1 - 5 x + 16 x^{2} - 80 x^{3} + 256 x^{4}$ $1$ simple
2.16.af_u $2$ $\F_{2^{4}}$ $1 - 5 x + 20 x^{2} - 80 x^{3} + 256 x^{4}$ $1$ simple
2.16.af_y $2$ $\F_{2^{4}}$ $1 - 5 x + 24 x^{2} - 80 x^{3} + 256 x^{4}$ $1$ simple
2.16.af_bf $2$ $\F_{2^{4}}$ $1 - 5 x + 31 x^{2} - 80 x^{3} + 256 x^{4}$ $2$ simple
2.16.af_bg $2$ $\F_{2^{4}}$ $( 1 - 5 x + 16 x^{2} )( 1 + 16 x^{2} )$ $1$ 1.16.af $\times$ 1.16.a
2.16.af_bk $2$ $\F_{2^{4}}$ $( 1 - 4 x + 16 x^{2} )( 1 - x + 16 x^{2} )$ $1$ 1.16.ae $\times$ 1.16.ab
2.16.ae_b $2$ $\F_{2^{4}}$ $1 - 4 x + x^{2} - 64 x^{3} + 256 x^{4}$ $2$ simple
2.16.ad_af $2$ $\F_{2^{4}}$ $1 - 3 x - 5 x^{2} - 48 x^{3} + 256 x^{4}$ $2$ simple
2.16.ad_ae $2$ $\F_{2^{4}}$ $1 - 3 x - 4 x^{2} - 48 x^{3} + 256 x^{4}$ $1$ simple
2.16.ad_ab $2$ $\F_{2^{4}}$ $1 - 3 x - x^{2} - 48 x^{3} + 256 x^{4}$ $2$ simple
2.16.ad_a $2$ $\F_{2^{4}}$ $1 - 3 x - 48 x^{3} + 256 x^{4}$ $1$ simple
2.16.ad_e $2$ $\F_{2^{4}}$ $( 1 - 7 x + 16 x^{2} )( 1 + 4 x + 16 x^{2} )$ $1$ 1.16.ah $\times$ 1.16.e
2.16.ad_u $2$ $\F_{2^{4}}$ $1 - 3 x + 20 x^{2} - 48 x^{3} + 256 x^{4}$ $1$ simple
2.16.ad_y $2$ $\F_{2^{4}}$ $1 - 3 x + 24 x^{2} - 48 x^{3} + 256 x^{4}$ $1$ simple
2.16.ad_bd $2$ $\F_{2^{4}}$ $1 - 3 x + 29 x^{2} - 48 x^{3} + 256 x^{4}$ $2$ simple
2.16.ad_bg $2$ $\F_{2^{4}}$ $( 1 - 3 x + 16 x^{2} )( 1 + 16 x^{2} )$ $1$ 1.16.ad $\times$ 1.16.a
2.16.ad_bh $2$ $\F_{2^{4}}$ $1 - 3 x + 33 x^{2} - 48 x^{3} + 256 x^{4}$ $2$ simple
2.16.ab_ax $2$ $\F_{2^{4}}$ $1 - x - 23 x^{2} - 16 x^{3} + 256 x^{4}$ $2$ simple
2.16.ab_av $2$ $\F_{2^{4}}$ $1 - x - 21 x^{2} - 16 x^{3} + 256 x^{4}$ $2$ simple
2.16.ab_au $2$ $\F_{2^{4}}$ $1 - x - 20 x^{2} - 16 x^{3} + 256 x^{4}$ $1$ simple
2.16.ab_at $2$ $\F_{2^{4}}$ $1 - x - 19 x^{2} - 16 x^{3} + 256 x^{4}$ $2$ simple
2.16.ab_ar $2$ $\F_{2^{4}}$ $1 - x - 17 x^{2} - 16 x^{3} + 256 x^{4}$ $2$ simple
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