Elliptic curve isogeny class 76050.5-f over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.5-f
• Conductor: 76050.5
• Rank: \( 1 \)

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

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

Elliptic curves in class 76050.5-f over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.5-f contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
76050.5-f1	\( \bigl[1\) , \( i + 1\) , \( i\) , \( 2 i + 6\) , \( 4\bigr] \)
76050.5-f2	\( \bigl[1\) , \( i + 1\) , \( i\) , \( 27 i + 81\) , \( -230 i + 164\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph