Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 22500.3-f over \(\Q(\sqrt{-1}) \)
Isogeny class 22500.3-f contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
22500.3-f1 | \( \bigl[0\) , \( -i\) , \( i + 1\) , \( 7583\) , \( 251650 i\bigr] \) |
22500.3-f2 | \( \bigl[0\) , \( -i\) , \( i + 1\) , \( 83\) , \( 400 i\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)