Elliptic curve isogeny class 50024.4-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-50024.4-a
• Conductor: 50024.4
• Rank: \( 1 \)

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

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

Elliptic curves in class 50024.4-a over \(\Q(\sqrt{-1}) \)

Isogeny class 50024.4-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
50024.4-a1	\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 2 i - 1\) , \( i + 3\bigr] \)
50024.4-a2	\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 52 i + 9\) , \( 95 i + 105\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph