Elliptic curve isogeny class 68450.9-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-68450.9-a
• Conductor: 68450.9
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 68450.9-a over \(\Q(\sqrt{-1}) \)

Isogeny class 68450.9-a contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
68450.9-a1	\( \bigl[1\) , \( 0\) , \( i\) , \( 345 i - 344\) , \( -4199 i + 479\bigr] \)
68450.9-a2	\( \bigl[i\) , \( 0\) , \( 1\) , \( 10 i + 1\) , \( -11 i - 9\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph