Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 36450.2-o over \(\Q(\sqrt{-1}) \)
Isogeny class 36450.2-o contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
36450.2-o1 | \( \bigl[i\) , \( 1\) , \( i\) , \( -1432\) , \( 20519\bigr] \) |
36450.2-o2 | \( \bigl[i\) , \( 1\) , \( i\) , \( 8\) , \( 103\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)