Elliptic curve isogeny class 76050.6-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.6-a
• Conductor: 76050.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 76050.6-a over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.6-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
76050.6-a1	\( \bigl[1\) , \( i - 1\) , \( i\) , \( -4761 i - 2832\) , \( 157522 i + 7988\bigr] \)
76050.6-a2	\( \bigl[1\) , \( i - 1\) , \( i\) , \( -50661 i - 6747\) , \( -3631523 i + 2517287\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph