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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
Use Geometric decomposition in the following inputs
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Results (1-50 of 603 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.23.am_cv $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 3 x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.ad
2.23.am_da $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 4 x + 23 x^{2} )$ $2$ 1.23.ai $\times$ 1.23.ae
2.23.al_cs $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 3 x + 23 x^{2} )$ $2$ 1.23.ai $\times$ 1.23.ad
2.23.ak_cc $2$ $\F_{23}$ $1 - 10 x + 54 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_cd $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.ab
2.23.ak_cg $2$ $\F_{23}$ $1 - 10 x + 58 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_ci $2$ $\F_{23}$ $1 - 10 x + 60 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_ck $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 2 x + 23 x^{2} )$ $2$ 1.23.ai $\times$ 1.23.ac
2.23.ak_cl $2$ $\F_{23}$ $1 - 10 x + 63 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_cp $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )( 1 - 3 x + 23 x^{2} )$ $2$ 1.23.ah $\times$ 1.23.ad
2.23.ak_cs $2$ $\F_{23}$ $( 1 - 6 x + 23 x^{2} )( 1 - 4 x + 23 x^{2} )$ $2$ 1.23.ag $\times$ 1.23.ae
2.23.aj_bu $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 + 23 x^{2} )$ $1$ 1.23.aj $\times$ 1.23.a
2.23.aj_bx $2$ $\F_{23}$ $1 - 9 x + 49 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_by $2$ $\F_{23}$ $1 - 9 x + 50 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_ca $2$ $\F_{23}$ $1 - 9 x + 52 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_cd $2$ $\F_{23}$ $1 - 9 x + 55 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_cg $2$ $\F_{23}$ $1 - 9 x + 58 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_cj $2$ $\F_{23}$ $1 - 9 x + 61 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_ck $2$ $\F_{23}$ $1 - 9 x + 62 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bi $2$ $\F_{23}$ $1 - 8 x + 34 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bl $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 + x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.b
2.23.ai_bm $2$ $\F_{23}$ $1 - 8 x + 38 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bo $2$ $\F_{23}$ $1 - 8 x + 40 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bp $2$ $\F_{23}$ $1 - 8 x + 41 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bq $2$ $\F_{23}$ $1 - 8 x + 42 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bs $2$ $\F_{23}$ $1 - 8 x + 44 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bt $2$ $\F_{23}$ $1 - 8 x + 45 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bu $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 + 23 x^{2} )$ $1$ 1.23.ai $\times$ 1.23.a
2.23.ai_bx $2$ $\F_{23}$ $1 - 8 x + 49 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_by $2$ $\F_{23}$ $1 - 8 x + 50 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_ca $2$ $\F_{23}$ $1 - 8 x + 52 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_cb $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )( 1 - x + 23 x^{2} )$ $2$ 1.23.ah $\times$ 1.23.ab
2.23.ai_cc $2$ $\F_{23}$ $1 - 8 x + 54 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_cf $2$ $\F_{23}$ $1 - 8 x + 57 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_cg $2$ $\F_{23}$ $( 1 - 6 x + 23 x^{2} )( 1 - 2 x + 23 x^{2} )$ $2$ 1.23.ag $\times$ 1.23.ac
2.23.ah_bb $2$ $\F_{23}$ $1 - 7 x + 27 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_be $2$ $\F_{23}$ $1 - 7 x + 30 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_bh $2$ $\F_{23}$ $1 - 7 x + 33 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_bl $2$ $\F_{23}$ $1 - 7 x + 37 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_bm $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 + x + 23 x^{2} )$ $2$ 1.23.ai $\times$ 1.23.b
2.23.ah_bo $2$ $\F_{23}$ $1 - 7 x + 40 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_br $2$ $\F_{23}$ $1 - 7 x + 43 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_bs $2$ $\F_{23}$ $1 - 7 x + 44 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_bu $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )( 1 + 23 x^{2} )$ $1$ 1.23.ah $\times$ 1.23.a
2.23.ah_bv $2$ $\F_{23}$ $1 - 7 x + 47 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ah_cc $2$ $\F_{23}$ $1 - 7 x + 54 x^{2} - 161 x^{3} + 529 x^{4}$ $2$ simple
2.23.ag_n $2$ $\F_{23}$ $1 - 6 x + 13 x^{2} - 138 x^{3} + 529 x^{4}$ $2$ simple
2.23.ag_o $2$ $\F_{23}$ $1 - 6 x + 14 x^{2} - 138 x^{3} + 529 x^{4}$ $2$ simple
2.23.ag_q $2$ $\F_{23}$ $1 - 6 x + 16 x^{2} - 138 x^{3} + 529 x^{4}$ $2$ simple
2.23.ag_t $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 + 3 x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.d
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