Elliptic curve isogeny class 16640.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-16640.3-a
• Number of curves: 2
• Conductor: 16640.3
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 16640.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 16640.3-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
16640.3-a1	\( \bigl[0\) , \( -1\) , \( 0\) , \( 10 i - 5\) , \( -6 i + 9\bigr] \)
16640.3-a2	\( \bigl[0\) , \( -i\) , \( 0\) , \( -30 i + 6\) , \( 28 i - 68\bigr] \)