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

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

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

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

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

Isogeny class 68450.5-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
68450.5-b1	\( \bigl[i\) , \( 0\) , \( i\) , \( -53\) , \( -146\bigr] \)
68450.5-b2	\( \bigl[i\) , \( 0\) , \( i\) , \( -18\) , \( -342\bigr] \)
68450.5-b3	\( \bigl[i\) , \( 0\) , \( i\) , \( 167\) , \( 9204\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)\)

Isogeny graph