Elliptic curve isogeny class 68450.6-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-68450.6-a
• Conductor: 68450.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 68450.6-a over \(\Q(\sqrt{-1}) \)

Isogeny class 68450.6-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
68450.6-a1	\( \bigl[1\) , \( i - 1\) , \( i\) , \( -620 i - 619\) , \( -9263 i - 3447\bigr] \)
68450.6-a2	\( \bigl[1\) , \( i - 1\) , \( i\) , \( -40 i - 29\) , \( -165 i - 93\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph