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

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-68450.9-b
• Conductor: 68450.9
• Rank: \( 0 \)

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

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

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

Isogeny class 68450.9-b contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
68450.9-b1	\( \bigl[1\) , \( 1\) , \( i + 1\) , \( -1912 i + 470\) , \( -23746 i + 35276\bigr] \)
68450.9-b2	\( \bigl[1\) , \( -i - 1\) , \( i\) , \( -1559 i + 2579\) , \( -43471 i - 43831\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph