Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 36450.4-h over \(\Q(\sqrt{-2}) \)
Isogeny class 36450.4-h contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 36450.4-h1 | \( \bigl[1\) , \( -1\) , \( 1\) , \( -1433\) , \( -20519\bigr] \) |
| 36450.4-h2 | \( \bigl[1\) , \( -1\) , \( 1\) , \( 7\) , \( -103\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
