Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 648.1-h over \(\Q(\sqrt{6}) \)
Isogeny class 648.1-h contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
648.1-h1 | \( \bigl[0\) , \( 0\) , \( a\) , \( 60 a - 147\) , \( -495 a + 1211\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)