Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 648.1-k over \(\Q(\sqrt{6}) \)
Isogeny class 648.1-k contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 648.1-k1 | \( \bigl[a\) , \( a\) , \( a\) , \( -54 a - 135\) , \( -139 a - 342\bigr] \) |