Elliptic curve isogeny class 76050.9-g over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.9-g
• Conductor: 76050.9
• Rank: \( 1 \)

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

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

Elliptic curves in class 76050.9-g over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.9-g contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
76050.9-g1	\( \bigl[1\) , \( i\) , \( 0\) , \( 230 i + 82\) , \( 1690 i + 1958\bigr] \)
76050.9-g2	\( \bigl[1\) , \( i\) , \( 0\) , \( -25 i - 8\) , \( -71 i - 40\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph