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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 (23 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.7.ai_bd $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )$ $2$ 1.7.af $\times$ 1.7.ad
2.7.ai_be $2$ $\F_{7}$ $( 1 - 4 x + 7 x^{2} )^{2}$ $2$ 1.7.ae 2
2.7.ah_y $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ $2$ 1.7.af $\times$ 1.7.ac
2.7.ah_z $2$ $\F_{7}$ $1 - 7 x + 25 x^{2} - 49 x^{3} + 49 x^{4}$ $2$ simple
2.7.ag_x $2$ $\F_{7}$ $( 1 - 3 x + 7 x^{2} )^{2}$ $2$ 1.7.ad 2
2.7.af_n $2$ $\F_{7}$ $1 - 5 x + 13 x^{2} - 35 x^{3} + 49 x^{4}$ $2$ simple
2.7.af_t $2$ $\F_{7}$ $1 - 5 x + 19 x^{2} - 35 x^{3} + 49 x^{4}$ $2$ simple
2.7.ad_c $2$ $\F_{7}$ $1 - 3 x + 2 x^{2} - 21 x^{3} + 49 x^{4}$ $2$ simple
2.7.ac_ad $2$ $\F_{7}$ $1 - 2 x - 3 x^{2} - 14 x^{3} + 49 x^{4}$ $2$ simple
2.7.ab_ai $2$ $\F_{7}$ $1 - x - 8 x^{2} - 7 x^{3} + 49 x^{4}$ $2$ simple
2.7.a_ao $2$ $\F_{7}$ $( 1 - 7 x^{2} )^{2}$ $0$ simple
2.7.a_al $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 + 5 x + 7 x^{2} )$ $2$ 1.7.af $\times$ 1.7.f
2.7.a_aj $2$ $\F_{7}$ $1 - 9 x^{2} + 49 x^{4}$ $2$ simple
2.7.b_ai $2$ $\F_{7}$ $1 + x - 8 x^{2} + 7 x^{3} + 49 x^{4}$ $2$ simple
2.7.c_ad $2$ $\F_{7}$ $1 + 2 x - 3 x^{2} + 14 x^{3} + 49 x^{4}$ $2$ simple
2.7.d_c $2$ $\F_{7}$ $1 + 3 x + 2 x^{2} + 21 x^{3} + 49 x^{4}$ $2$ simple
2.7.f_n $2$ $\F_{7}$ $1 + 5 x + 13 x^{2} + 35 x^{3} + 49 x^{4}$ $2$ simple
2.7.f_t $2$ $\F_{7}$ $1 + 5 x + 19 x^{2} + 35 x^{3} + 49 x^{4}$ $2$ simple
2.7.g_x $2$ $\F_{7}$ $( 1 + 3 x + 7 x^{2} )^{2}$ $2$ 1.7.d 2
2.7.h_y $2$ $\F_{7}$ $( 1 + 2 x + 7 x^{2} )( 1 + 5 x + 7 x^{2} )$ $2$ 1.7.c $\times$ 1.7.f
2.7.h_z $2$ $\F_{7}$ $1 + 7 x + 25 x^{2} + 49 x^{3} + 49 x^{4}$ $2$ simple
2.7.i_bd $2$ $\F_{7}$ $( 1 + 3 x + 7 x^{2} )( 1 + 5 x + 7 x^{2} )$ $2$ 1.7.d $\times$ 1.7.f
2.7.i_be $2$ $\F_{7}$ $( 1 + 4 x + 7 x^{2} )^{2}$ $2$ 1.7.e 2
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