Elliptic curve isogeny class 28224.1-k over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-28224.1-k
• Conductor: 28224.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).

Elliptic curves in class 28224.1-k over \(\Q(\sqrt{-7}) \)

Isogeny class 28224.1-k contains 2 curves linked by isogenies of degree 13.

Curve label	Weierstrass Coefficients
28224.1-k1	\( \bigl[0\) , \( a - 1\) , \( a\) , \( 6386 a - 12773\) , \( -375789 a + 445838\bigr] \)
28224.1-k2	\( \bigl[0\) , \( a - 1\) , \( a\) , \( 16 a - 33\) , \( 41 a - 62\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph