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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 201 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.23.aq_ef $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 7 x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.ah
2.23.aq_eg $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )^{2}$ $2$ 1.23.ai 2
2.23.ap_dw $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.ag
2.23.ao_dm $2$ $\F_{23}$ $1 - 14 x + 90 x^{2} - 322 x^{3} + 529 x^{4}$ $2$ simple
2.23.ao_dn $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 5 x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.af
2.23.ao_do $2$ $\F_{23}$ $1 - 14 x + 92 x^{2} - 322 x^{3} + 529 x^{4}$ $1$ simple
2.23.ao_dp $2$ $\F_{23}$ $1 - 14 x + 93 x^{2} - 322 x^{3} + 529 x^{4}$ $2$ simple
2.23.ao_dq $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ $2$ 1.23.ai $\times$ 1.23.ag
2.23.an_dd $2$ $\F_{23}$ $1 - 13 x + 81 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ simple
2.23.an_de $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 4 x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.ae
2.23.an_df $2$ $\F_{23}$ $1 - 13 x + 83 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ simple
2.23.an_dg $2$ $\F_{23}$ $1 - 13 x + 84 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ simple
2.23.an_dh $2$ $\F_{23}$ $1 - 13 x + 85 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ simple
2.23.an_di $2$ $\F_{23}$ $( 1 - 8 x + 23 x^{2} )( 1 - 5 x + 23 x^{2} )$ $2$ 1.23.ai $\times$ 1.23.af
2.23.an_dj $2$ $\F_{23}$ $1 - 13 x + 87 x^{2} - 299 x^{3} + 529 x^{4}$ $2$ simple
2.23.am_ct $2$ $\F_{23}$ $1 - 12 x + 71 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ simple
2.23.am_cu $2$ $\F_{23}$ $1 - 12 x + 72 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ simple
2.23.am_cx $2$ $\F_{23}$ $1 - 12 x + 75 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ simple
2.23.am_db $2$ $\F_{23}$ $1 - 12 x + 79 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ simple
2.23.am_dc $2$ $\F_{23}$ $1 - 12 x + 80 x^{2} - 276 x^{3} + 529 x^{4}$ $2$ simple
2.23.am_dd $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )( 1 - 5 x + 23 x^{2} )$ $2$ 1.23.ah $\times$ 1.23.af
2.23.al_cj $2$ $\F_{23}$ $1 - 11 x + 61 x^{2} - 253 x^{3} + 529 x^{4}$ $2$ simple
2.23.al_ck $2$ $\F_{23}$ $1 - 11 x + 62 x^{2} - 253 x^{3} + 529 x^{4}$ $2$ simple
2.23.al_cm $2$ $\F_{23}$ $( 1 - 9 x + 23 x^{2} )( 1 - 2 x + 23 x^{2} )$ $2$ 1.23.aj $\times$ 1.23.ac
2.23.al_cn $2$ $\F_{23}$ $1 - 11 x + 65 x^{2} - 253 x^{3} + 529 x^{4}$ $2$ simple
2.23.al_cq $2$ $\F_{23}$ $1 - 11 x + 68 x^{2} - 253 x^{3} + 529 x^{4}$ $2$ simple
2.23.al_cr $2$ $\F_{23}$ $1 - 11 x + 69 x^{2} - 253 x^{3} + 529 x^{4}$ $1$ simple
2.23.al_ct $2$ $\F_{23}$ $1 - 11 x + 71 x^{2} - 253 x^{3} + 529 x^{4}$ $2$ simple
2.23.al_cu $2$ $\F_{23}$ $1 - 11 x + 72 x^{2} - 253 x^{3} + 529 x^{4}$ $2$ simple
2.23.al_cw $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )( 1 - 4 x + 23 x^{2} )$ $2$ 1.23.ah $\times$ 1.23.ae
2.23.al_cx $2$ $\F_{23}$ $1 - 11 x + 75 x^{2} - 253 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_by $2$ $\F_{23}$ $1 - 10 x + 50 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_bz $2$ $\F_{23}$ $1 - 10 x + 51 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_ca $2$ $\F_{23}$ $1 - 10 x + 52 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_cf $2$ $\F_{23}$ $1 - 10 x + 57 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_cq $2$ $\F_{23}$ $1 - 10 x + 68 x^{2} - 230 x^{3} + 529 x^{4}$ $2$ simple
2.23.ak_cr $2$ $\F_{23}$ $1 - 10 x + 69 x^{2} - 230 x^{3} + 529 x^{4}$ $1$ simple
2.23.ak_ct $2$ $\F_{23}$ $( 1 - 5 x + 23 x^{2} )^{2}$ $2$ 1.23.af 2
2.23.aj_bp $2$ $\F_{23}$ $1 - 9 x + 41 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_bq $2$ $\F_{23}$ $1 - 9 x + 42 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_bt $2$ $\F_{23}$ $1 - 9 x + 45 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_bw $2$ $\F_{23}$ $1 - 9 x + 48 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_bz $2$ $\F_{23}$ $1 - 9 x + 51 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_cf $2$ $\F_{23}$ $1 - 9 x + 57 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_ci $2$ $\F_{23}$ $( 1 - 7 x + 23 x^{2} )( 1 - 2 x + 23 x^{2} )$ $2$ 1.23.ah $\times$ 1.23.ac
2.23.aj_cl $2$ $\F_{23}$ $1 - 9 x + 63 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.aj_cn $2$ $\F_{23}$ $1 - 9 x + 65 x^{2} - 207 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bj $2$ $\F_{23}$ $1 - 8 x + 35 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bk $2$ $\F_{23}$ $1 - 8 x + 36 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
2.23.ai_bn $2$ $\F_{23}$ $1 - 8 x + 39 x^{2} - 184 x^{3} + 529 x^{4}$ $2$ simple
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