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 150.2-e over \(\Q(\sqrt{6}) \)
Isogeny class 150.2-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 150.2-e1 | \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -26 a - 59\) , \( 118 a + 291\bigr] \) |