Elliptic curve isogeny class 1108.2-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-1108.2-a
• Conductor: 1108.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 1108.2-a over \(\Q(\sqrt{-1}) \)

Isogeny class 1108.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
1108.2-a1	\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 2 i - 2\) , \( -2\bigr] \)
1108.2-a2	\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -28 i + 8\) , \( 16 i - 42\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph