Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 144.1-CMa over \(\Q(\sqrt{-2}) \)
Isogeny class 144.1-CMa contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 144.1-CMa1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a - 2\) , \( -2 a - 4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
