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

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-90000.3-w
• 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-w over \(\Q(\sqrt{-1}) \)

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

Curve label	Weierstrass Coefficients
90000.3-w1	\( \bigl[i + 1\) , \( -i\) , \( i + 1\) , \( 14 i - 3\) , \( -17 i + 30\bigr] \)
90000.3-w2	\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( 74 i + 577\) , \( -3924 i + 2550\bigr] \)