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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 239 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.25.aq_eg $2$ $\F_{5^{2}}$ $( 1 - 5 x )^{2}( 1 - 6 x + 25 x^{2} )$ $1$ 1.25.ak $\times$ 1.25.ag
2.25.aq_ei $2$ $\F_{5^{2}}$ $1 - 16 x + 112 x^{2} - 400 x^{3} + 625 x^{4}$ $2$ simple
2.25.aq_ej $2$ $\F_{5^{2}}$ $( 1 - 9 x + 25 x^{2} )( 1 - 7 x + 25 x^{2} )$ $2$ 1.25.aj $\times$ 1.25.ah
2.25.aq_ek $2$ $\F_{5^{2}}$ $( 1 - 8 x + 25 x^{2} )^{2}$ $2$ 1.25.ai 2
2.25.ap_dx $2$ $\F_{5^{2}}$ $1 - 15 x + 101 x^{2} - 375 x^{3} + 625 x^{4}$ $2$ simple
2.25.ap_dy $2$ $\F_{5^{2}}$ $1 - 15 x + 102 x^{2} - 375 x^{3} + 625 x^{4}$ $2$ simple
2.25.ap_dz $2$ $\F_{5^{2}}$ $1 - 15 x + 103 x^{2} - 375 x^{3} + 625 x^{4}$ $2$ simple
2.25.ap_ea $2$ $\F_{5^{2}}$ $( 1 - 9 x + 25 x^{2} )( 1 - 6 x + 25 x^{2} )$ $2$ 1.25.aj $\times$ 1.25.ag
2.25.ao_dn $2$ $\F_{5^{2}}$ $1 - 14 x + 91 x^{2} - 350 x^{3} + 625 x^{4}$ $2$ simple
2.25.ao_do $2$ $\F_{5^{2}}$ $1 - 14 x + 92 x^{2} - 350 x^{3} + 625 x^{4}$ $2$ simple
2.25.ao_dp $2$ $\F_{5^{2}}$ $1 - 14 x + 93 x^{2} - 350 x^{3} + 625 x^{4}$ $2$ simple
2.25.ao_dr $2$ $\F_{5^{2}}$ $( 1 - 9 x + 25 x^{2} )( 1 - 5 x + 25 x^{2} )$ $1$ 1.25.aj $\times$ 1.25.af
2.25.ao_ds $2$ $\F_{5^{2}}$ $1 - 14 x + 96 x^{2} - 350 x^{3} + 625 x^{4}$ $2$ simple
2.25.ao_dt $2$ $\F_{5^{2}}$ $1 - 14 x + 97 x^{2} - 350 x^{3} + 625 x^{4}$ $2$ simple
2.25.ao_dv $2$ $\F_{5^{2}}$ $( 1 - 7 x + 25 x^{2} )^{2}$ $2$ 1.25.ah 2
2.25.an_dd $2$ $\F_{5^{2}}$ $1 - 13 x + 81 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.an_de $2$ $\F_{5^{2}}$ $1 - 13 x + 82 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.an_df $2$ $\F_{5^{2}}$ $1 - 13 x + 83 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.an_di $2$ $\F_{5^{2}}$ $( 1 - 9 x + 25 x^{2} )( 1 - 4 x + 25 x^{2} )$ $2$ 1.25.aj $\times$ 1.25.ae
2.25.an_dk $2$ $\F_{5^{2}}$ $1 - 13 x + 88 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.an_dn $2$ $\F_{5^{2}}$ $1 - 13 x + 91 x^{2} - 325 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_cs $2$ $\F_{5^{2}}$ $( 1 - 5 x )^{2}( 1 - 2 x + 25 x^{2} )$ $1$ 1.25.ak $\times$ 1.25.ac
2.25.am_ct $2$ $\F_{5^{2}}$ $1 - 12 x + 71 x^{2} - 300 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_df $2$ $\F_{5^{2}}$ $1 - 12 x + 83 x^{2} - 300 x^{3} + 625 x^{4}$ $2$ simple
2.25.am_dh $2$ $\F_{5^{2}}$ $( 1 - 7 x + 25 x^{2} )( 1 - 5 x + 25 x^{2} )$ $1$ 1.25.ah $\times$ 1.25.af
2.25.al_ci $2$ $\F_{5^{2}}$ $( 1 - 5 x )^{2}( 1 - x + 25 x^{2} )$ $1$ 1.25.ak $\times$ 1.25.ab
2.25.al_cj $2$ $\F_{5^{2}}$ $1 - 11 x + 61 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_ck $2$ $\F_{5^{2}}$ $1 - 11 x + 62 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cn $2$ $\F_{5^{2}}$ $1 - 11 x + 65 x^{2} - 275 x^{3} + 625 x^{4}$ $1$ simple
2.25.al_cs $2$ $\F_{5^{2}}$ $1 - 11 x + 70 x^{2} - 275 x^{3} + 625 x^{4}$ $1$ simple
2.25.al_ct $2$ $\F_{5^{2}}$ $1 - 11 x + 71 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_cz $2$ $\F_{5^{2}}$ $1 - 11 x + 77 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.al_db $2$ $\F_{5^{2}}$ $1 - 11 x + 79 x^{2} - 275 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_ca $2$ $\F_{5^{2}}$ $1 - 10 x + 52 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cb $2$ $\F_{5^{2}}$ $1 - 10 x + 53 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cu $2$ $\F_{5^{2}}$ $1 - 10 x + 72 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cv $2$ $\F_{5^{2}}$ $1 - 10 x + 73 x^{2} - 250 x^{3} + 625 x^{4}$ $2$ simple
2.25.ak_cx $2$ $\F_{5^{2}}$ $( 1 - 5 x + 25 x^{2} )^{2}$ $0$ 1.25.af 2
2.25.aj_bp $2$ $\F_{5^{2}}$ $1 - 9 x + 41 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_bt $2$ $\F_{5^{2}}$ $1 - 9 x + 45 x^{2} - 225 x^{3} + 625 x^{4}$ $1$ simple
2.25.aj_bu $2$ $\F_{5^{2}}$ $1 - 9 x + 46 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_bv $2$ $\F_{5^{2}}$ $1 - 9 x + 47 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_cd $2$ $\F_{5^{2}}$ $1 - 9 x + 55 x^{2} - 225 x^{3} + 625 x^{4}$ $1$ simple
2.25.aj_ci $2$ $\F_{5^{2}}$ $1 - 9 x + 60 x^{2} - 225 x^{3} + 625 x^{4}$ $1$ simple
2.25.aj_ck $2$ $\F_{5^{2}}$ $1 - 9 x + 62 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.aj_cr $2$ $\F_{5^{2}}$ $1 - 9 x + 69 x^{2} - 225 x^{3} + 625 x^{4}$ $2$ simple
2.25.ai_be $2$ $\F_{5^{2}}$ $( 1 - 5 x )^{2}( 1 + 2 x + 25 x^{2} )$ $1$ 1.25.ak $\times$ 1.25.c
2.25.ai_bf $2$ $\F_{5^{2}}$ $1 - 8 x + 31 x^{2} - 200 x^{3} + 625 x^{4}$ $2$ simple
2.25.ai_bj $2$ $\F_{5^{2}}$ $1 - 8 x + 35 x^{2} - 200 x^{3} + 625 x^{4}$ $1$ simple
2.25.ai_bo $2$ $\F_{5^{2}}$ $1 - 8 x + 40 x^{2} - 200 x^{3} + 625 x^{4}$ $1$ simple
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