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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 (43 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.9.ai_bf $2$ $\F_{3^{2}}$ $1 - 8 x + 31 x^{2} - 72 x^{3} + 81 x^{4}$ $2$ simple
2.9.ah_z $2$ $\F_{3^{2}}$ $1 - 7 x + 25 x^{2} - 63 x^{3} + 81 x^{4}$ $2$ simple
2.9.ah_ba $2$ $\F_{3^{2}}$ $1 - 7 x + 26 x^{2} - 63 x^{3} + 81 x^{4}$ $2$ simple
2.9.ah_bb $2$ $\F_{3^{2}}$ $1 - 7 x + 27 x^{2} - 63 x^{3} + 81 x^{4}$ $1$ simple
2.9.ah_bd $2$ $\F_{3^{2}}$ $1 - 7 x + 29 x^{2} - 63 x^{3} + 81 x^{4}$ $2$ simple
2.9.ag_z $2$ $\F_{3^{2}}$ $1 - 6 x + 25 x^{2} - 54 x^{3} + 81 x^{4}$ $2$ simple
2.9.af_o $2$ $\F_{3^{2}}$ $1 - 5 x + 14 x^{2} - 45 x^{3} + 81 x^{4}$ $2$ simple
2.9.af_p $2$ $\F_{3^{2}}$ $1 - 5 x + 15 x^{2} - 45 x^{3} + 81 x^{4}$ $1$ simple
2.9.af_s $2$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 + 9 x^{2} )$ $1$ 1.9.af $\times$ 1.9.a
2.9.af_v $2$ $\F_{3^{2}}$ $1 - 5 x + 21 x^{2} - 45 x^{3} + 81 x^{4}$ $1$ simple
2.9.ae_p $2$ $\F_{3^{2}}$ $1 - 4 x + 15 x^{2} - 36 x^{3} + 81 x^{4}$ $1$ simple
2.9.ae_v $2$ $\F_{3^{2}}$ $( 1 - 3 x + 9 x^{2} )( 1 - x + 9 x^{2} )$ $1$ 1.9.ad $\times$ 1.9.ab
2.9.ad_b $2$ $\F_{3^{2}}$ $1 - 3 x + x^{2} - 27 x^{3} + 81 x^{4}$ $2$ simple
2.9.ab_ak $2$ $\F_{3^{2}}$ $1 - x - 10 x^{2} - 9 x^{3} + 81 x^{4}$ $2$ simple
2.9.ab_aj $2$ $\F_{3^{2}}$ $1 - x - 9 x^{2} - 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.ab_ag $2$ $\F_{3^{2}}$ $1 - x - 6 x^{2} - 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.ab_ad $2$ $\F_{3^{2}}$ $1 - x - 3 x^{2} - 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.ab_d $2$ $\F_{3^{2}}$ $1 - x + 3 x^{2} - 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.ab_g $2$ $\F_{3^{2}}$ $( 1 - 4 x + 9 x^{2} )( 1 + 3 x + 9 x^{2} )$ $1$ 1.9.ae $\times$ 1.9.d
2.9.ab_r $2$ $\F_{3^{2}}$ $1 - x + 17 x^{2} - 9 x^{3} + 81 x^{4}$ $2$ simple
2.9.a_an $2$ $\F_{3^{2}}$ $1 - 13 x^{2} + 81 x^{4}$ $2$ simple
2.9.a_al $2$ $\F_{3^{2}}$ $1 - 11 x^{2} + 81 x^{4}$ $2$ simple
2.9.a_s $2$ $\F_{3^{2}}$ $( 1 + 9 x^{2} )^{2}$ $0$ 1.9.a 2
2.9.b_ak $2$ $\F_{3^{2}}$ $1 + x - 10 x^{2} + 9 x^{3} + 81 x^{4}$ $2$ simple
2.9.b_aj $2$ $\F_{3^{2}}$ $1 + x - 9 x^{2} + 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.b_ag $2$ $\F_{3^{2}}$ $1 + x - 6 x^{2} + 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.b_ad $2$ $\F_{3^{2}}$ $1 + x - 3 x^{2} + 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.b_d $2$ $\F_{3^{2}}$ $1 + x + 3 x^{2} + 9 x^{3} + 81 x^{4}$ $1$ simple
2.9.b_g $2$ $\F_{3^{2}}$ $( 1 - 3 x + 9 x^{2} )( 1 + 4 x + 9 x^{2} )$ $1$ 1.9.ad $\times$ 1.9.e
2.9.b_r $2$ $\F_{3^{2}}$ $1 + x + 17 x^{2} + 9 x^{3} + 81 x^{4}$ $2$ simple
2.9.d_b $2$ $\F_{3^{2}}$ $1 + 3 x + x^{2} + 27 x^{3} + 81 x^{4}$ $2$ simple
2.9.e_p $2$ $\F_{3^{2}}$ $1 + 4 x + 15 x^{2} + 36 x^{3} + 81 x^{4}$ $1$ simple
2.9.e_v $2$ $\F_{3^{2}}$ $( 1 + x + 9 x^{2} )( 1 + 3 x + 9 x^{2} )$ $1$ 1.9.b $\times$ 1.9.d
2.9.f_o $2$ $\F_{3^{2}}$ $1 + 5 x + 14 x^{2} + 45 x^{3} + 81 x^{4}$ $2$ simple
2.9.f_p $2$ $\F_{3^{2}}$ $1 + 5 x + 15 x^{2} + 45 x^{3} + 81 x^{4}$ $1$ simple
2.9.f_s $2$ $\F_{3^{2}}$ $( 1 + 9 x^{2} )( 1 + 5 x + 9 x^{2} )$ $1$ 1.9.a $\times$ 1.9.f
2.9.f_v $2$ $\F_{3^{2}}$ $1 + 5 x + 21 x^{2} + 45 x^{3} + 81 x^{4}$ $1$ simple
2.9.g_z $2$ $\F_{3^{2}}$ $1 + 6 x + 25 x^{2} + 54 x^{3} + 81 x^{4}$ $2$ simple
2.9.h_z $2$ $\F_{3^{2}}$ $1 + 7 x + 25 x^{2} + 63 x^{3} + 81 x^{4}$ $2$ simple
2.9.h_ba $2$ $\F_{3^{2}}$ $1 + 7 x + 26 x^{2} + 63 x^{3} + 81 x^{4}$ $2$ simple
2.9.h_bb $2$ $\F_{3^{2}}$ $1 + 7 x + 27 x^{2} + 63 x^{3} + 81 x^{4}$ $1$ simple
2.9.h_bd $2$ $\F_{3^{2}}$ $1 + 7 x + 29 x^{2} + 63 x^{3} + 81 x^{4}$ $2$ simple
2.9.i_bf $2$ $\F_{3^{2}}$ $1 + 8 x + 31 x^{2} + 72 x^{3} + 81 x^{4}$ $2$ simple
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