Elliptic curve isogeny class 68450.4-c over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-68450.4-c
• Conductor: 68450.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 68450.4-c over \(\Q(\sqrt{-1}) \)

Isogeny class 68450.4-c contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
68450.4-c1	\( \bigl[i\) , \( 0\) , \( i + 1\) , \( -88 i + 2\) , \( 188 i - 248\bigr] \)
68450.4-c2	\( \bigl[i\) , \( 0\) , \( i + 1\) , \( 612 i - 238\) , \( 3996 i + 1732\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph