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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 283 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.17.ak_by $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 2 x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.ac
2.17.aj_br $2$ $\F_{17}$ $1 - 9 x + 43 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_bu $2$ $\F_{17}$ $1 - 9 x + 46 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_bv $2$ $\F_{17}$ $1 - 9 x + 47 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ simple
2.17.aj_ca $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$ $2$ 1.17.ag $\times$ 1.17.ad
2.17.ai_bi $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 + 17 x^{2} )$ $1$ 1.17.ai $\times$ 1.17.a
2.17.ai_bl $2$ $\F_{17}$ $1 - 8 x + 37 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bm $2$ $\F_{17}$ $1 - 8 x + 38 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bo $2$ $\F_{17}$ $1 - 8 x + 40 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bp $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - x + 17 x^{2} )$ $2$ 1.17.ah $\times$ 1.17.ab
2.17.ai_br $2$ $\F_{17}$ $1 - 8 x + 43 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bt $2$ $\F_{17}$ $1 - 8 x + 45 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ai_bx $2$ $\F_{17}$ $( 1 - 5 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$ $2$ 1.17.af $\times$ 1.17.ad
2.17.ah_bc $2$ $\F_{17}$ $1 - 7 x + 28 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bf $2$ $\F_{17}$ $1 - 7 x + 31 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bi $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 + 17 x^{2} )$ $1$ 1.17.ah $\times$ 1.17.a
2.17.ah_bj $2$ $\F_{17}$ $1 - 7 x + 35 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bk $2$ $\F_{17}$ $1 - 7 x + 36 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bl $2$ $\F_{17}$ $1 - 7 x + 37 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bn $2$ $\F_{17}$ $1 - 7 x + 39 x^{2} - 119 x^{3} + 289 x^{4}$ $2$ simple
2.17.ah_bo $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )( 1 - x + 17 x^{2} )$ $2$ 1.17.ag $\times$ 1.17.ab
2.17.ag_s $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 + 2 x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.c
2.17.ag_z $2$ $\F_{17}$ $1 - 6 x + 25 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_bb $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 + x + 17 x^{2} )$ $2$ 1.17.ah $\times$ 1.17.b
2.17.ag_bd $2$ $\F_{17}$ $1 - 6 x + 29 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_be $2$ $\F_{17}$ $1 - 6 x + 30 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_bg $2$ $\F_{17}$ $1 - 6 x + 32 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_bl $2$ $\F_{17}$ $1 - 6 x + 37 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_bo $2$ $\F_{17}$ $1 - 6 x + 40 x^{2} - 102 x^{3} + 289 x^{4}$ $2$ simple
2.17.ag_br $2$ $\F_{17}$ $( 1 - 3 x + 17 x^{2} )^{2}$ $2$ 1.17.ad 2
2.17.af_k $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 + 3 x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.d
2.17.af_l $2$ $\F_{17}$ $1 - 5 x + 11 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_m $2$ $\F_{17}$ $1 - 5 x + 12 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_p $2$ $\F_{17}$ $1 - 5 x + 15 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_r $2$ $\F_{17}$ $1 - 5 x + 17 x^{2} - 85 x^{3} + 289 x^{4}$ $1$ simple
2.17.af_t $2$ $\F_{17}$ $1 - 5 x + 19 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_v $2$ $\F_{17}$ $1 - 5 x + 21 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_w $2$ $\F_{17}$ $1 - 5 x + 22 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_x $2$ $\F_{17}$ $1 - 5 x + 23 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_y $2$ $\F_{17}$ $1 - 5 x + 24 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_bb $2$ $\F_{17}$ $1 - 5 x + 27 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_bc $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )( 1 + x + 17 x^{2} )$ $2$ 1.17.ag $\times$ 1.17.b
2.17.af_bd $2$ $\F_{17}$ $1 - 5 x + 29 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_bf $2$ $\F_{17}$ $1 - 5 x + 31 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_bg $2$ $\F_{17}$ $1 - 5 x + 32 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_bi $2$ $\F_{17}$ $( 1 - 5 x + 17 x^{2} )( 1 + 17 x^{2} )$ $1$ 1.17.af $\times$ 1.17.a
2.17.af_bj $2$ $\F_{17}$ $1 - 5 x + 35 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_bk $2$ $\F_{17}$ $1 - 5 x + 36 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.af_bl $2$ $\F_{17}$ $1 - 5 x + 37 x^{2} - 85 x^{3} + 289 x^{4}$ $2$ simple
2.17.ae_b $2$ $\F_{17}$ $1 - 4 x + x^{2} - 68 x^{3} + 289 x^{4}$ $2$ simple
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