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-b over \(\Q(\sqrt{6}) \)
Isogeny class 648.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 648.1-b1 | \( \bigl[a\) , \( -a\) , \( a\) , \( 10 a - 27\) , \( -17 a + 40\bigr] \) |