Elliptic curve isogeny class 22400.2-k over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-22400.2-k
• Conductor: 22400.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 22400.2-k over \(\Q(\sqrt{-7}) \)

Isogeny class 22400.2-k contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
22400.2-k1	\( \bigl[a\) , \( 1\) , \( a\) , \( 7 a + 76\) , \( -194 a + 163\bigr] \)
22400.2-k2	\( \bigl[a\) , \( -1\) , \( a\) , \( -13 a + 16\) , \( -16 a + 39\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph