Elliptic curve isogeny class 68450.5-d over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-68450.5-d
• Conductor: 68450.5
• Rank: \( 2 \)

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

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

Elliptic curves in class 68450.5-d over \(\Q(\sqrt{-1}) \)

Isogeny class 68450.5-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
68450.5-d1	\( \bigl[i\) , \( -i + 1\) , \( i\) , \( 183 i - 131\) , \( -1226 i + 124\bigr] \)
68450.5-d2	\( \bigl[1\) , \( i - 1\) , \( 1\) , \( 13 i - 42\) , \( -42 i + 112\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph