Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 1936.1-e over \(\Q(\sqrt{2}) \)
Isogeny class 1936.1-e contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1936.1-e1 | \( \bigl[0\) , \( 1\) , \( a\) , \( -19\) , \( 26\bigr] \) |
| 1936.1-e2 | \( \bigl[0\) , \( 1\) , \( a\) , \( 1\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
