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

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-68450.6-b
• 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-b over \(\Q(\sqrt{-1}) \)

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

Curve label	Weierstrass Coefficients
68450.6-b1	\( \bigl[1\) , \( -1\) , \( i + 1\) , \( -148 i - 112\) , \( 1654 i + 1014\bigr] \)
68450.6-b2	\( \bigl[1\) , \( -1\) , \( i + 1\) , \( 1377 i - 567\) , \( 21865 i + 1959\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph