Elliptic curve isogeny class 68450.7-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-68450.7-a
• Conductor: 68450.7
• Rank: \( 1 \)

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

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

Elliptic curves in class 68450.7-a over \(\Q(\sqrt{-1}) \)

Isogeny class 68450.7-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
68450.7-a1	\( \bigl[i\) , \( -i\) , \( i + 1\) , \( 4219 i - 119\) , \( 97118 i + 58620\bigr] \)
68450.7-a2	\( \bigl[i\) , \( -i\) , \( i + 1\) , \( -401 i + 96\) , \( -1859 i + 1184\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph