Elliptic curve isogeny class 50005.6-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-50005.6-a
• Conductor: 50005.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 50005.6-a over \(\Q(\sqrt{-1}) \)

Isogeny class 50005.6-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
50005.6-a1	\( \bigl[1\) , \( i + 1\) , \( 1\) , \( -732 i - 203\) , \( -7865 i + 3158\bigr] \)
50005.6-a2	\( \bigl[i\) , \( -i - 1\) , \( i\) , \( -717 i - 162\) , \( 8651 i - 2668\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph