Elliptic curve isogeny class 90000.3-be over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-90000.3-be
• Conductor: 90000.3
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 90000.3-be over \(\Q(\sqrt{-1}) \)

Isogeny class 90000.3-be contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
90000.3-be1	\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -16 i - 3\) , \( 16 i + 30\bigr] \)
90000.3-be2	\( \bigl[i + 1\) , \( -i\) , \( i + 1\) , \( -76 i + 577\) , \( 3923 i + 2550\bigr] \)