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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 (24 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.17.ao_de $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.ag
2.17.am_cn $2$ $\F_{17}$ $1 - 12 x + 65 x^{2} - 204 x^{3} + 289 x^{4}$ $2$ simple
2.17.al_ch $2$ $\F_{17}$ $1 - 11 x + 59 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_bx $2$ $\F_{17}$ $1 - 10 x + 49 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_cb $2$ $\F_{17}$ $1 - 10 x + 53 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.ak_ch $2$ $\F_{17}$ $( 1 - 5 x + 17 x^{2} )^{2}$ $2$ 1.17.af 2
2.17.aj_bq $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - x + 17 x^{2} )$ $2$ 1.17.ai $\times$ 1.17.ab
2.17.ai_bg $2$ $\F_{17}$ $1 - 8 x + 32 x^{2} - 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.ab_az $2$ $\F_{17}$ $1 - x - 25 x^{2} - 17 x^{3} + 289 x^{4}$ $2$ simple
2.17.a_abi $2$ $\F_{17}$ $( 1 - 17 x^{2} )^{2}$ $0$ simple
2.17.a_abf $2$ $\F_{17}$ $1 - 31 x^{2} + 289 x^{4}$ $2$ simple
2.17.a_abc $2$ $\F_{17}$ $1 - 28 x^{2} + 289 x^{4}$ $2$ simple
2.17.a_av $2$ $\F_{17}$ $1 - 21 x^{2} + 289 x^{4}$ $2$ simple
2.17.a_am $2$ $\F_{17}$ $1 - 12 x^{2} + 289 x^{4}$ $2$ simple
2.17.a_bh $2$ $\F_{17}$ $( 1 - x + 17 x^{2} )( 1 + x + 17 x^{2} )$ $2$ 1.17.ab $\times$ 1.17.b
2.17.b_az $2$ $\F_{17}$ $1 + x - 25 x^{2} + 17 x^{3} + 289 x^{4}$ $2$ simple
2.17.i_bg $2$ $\F_{17}$ $1 + 8 x + 32 x^{2} + 136 x^{3} + 289 x^{4}$ $2$ simple
2.17.j_bq $2$ $\F_{17}$ $( 1 + x + 17 x^{2} )( 1 + 8 x + 17 x^{2} )$ $2$ 1.17.b $\times$ 1.17.i
2.17.k_bx $2$ $\F_{17}$ $1 + 10 x + 49 x^{2} + 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.k_cb $2$ $\F_{17}$ $1 + 10 x + 53 x^{2} + 170 x^{3} + 289 x^{4}$ $2$ simple
2.17.k_ch $2$ $\F_{17}$ $( 1 + 5 x + 17 x^{2} )^{2}$ $2$ 1.17.f 2
2.17.l_ch $2$ $\F_{17}$ $1 + 11 x + 59 x^{2} + 187 x^{3} + 289 x^{4}$ $2$ simple
2.17.m_cn $2$ $\F_{17}$ $1 + 12 x + 65 x^{2} + 204 x^{3} + 289 x^{4}$ $2$ simple
2.17.o_de $2$ $\F_{17}$ $( 1 + 6 x + 17 x^{2} )( 1 + 8 x + 17 x^{2} )$ $2$ 1.17.g $\times$ 1.17.i
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