Elliptic curve isogeny class 87616.2-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-87616.2-b
• Conductor: 87616.2
• Rank: \( 2 \)

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

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

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 87616.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 87616.2-b contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
87616.2-b1	\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 34 i - 6\) , \( -6 i + 68\bigr] \)
87616.2-b2	\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -34 i - 6\) , \( 6 i + 68\bigr] \)