Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 90000.3-e over \(\Q(\sqrt{-1}) \)
Isogeny class 90000.3-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
90000.3-e1 | \( \bigl[0\) , \( i + 1\) , \( i + 1\) , \( 234 i - 175\) , \( -2237 i + 274\bigr] \) |