Elliptic curve isogeny class 76050.2-e over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.2-e
• Conductor: 76050.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 76050.2-e over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.2-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
76050.2-e1	\( \bigl[i\) , \( -1\) , \( i\) , \( -175 i - 537\) , \( -1551 i + 2562\bigr] \)
76050.2-e2	\( \bigl[1\) , \( 1\) , \( 1\) , \( 65 i + 142\) , \( 223 i - 258\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph