Base field \(\Q(\sqrt{217}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 54 \); class number \(1\).
Elliptic curves in class 6.2-a over \(\Q(\sqrt{217}) \)
Isogeny class 6.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
6.2-a1 | \( \bigl[a + 1\) , \( 0\) , \( a\) , \( 1454820719431 a + 9988013356524\) , \( 857134272549098597 a + 5884621003953910568\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)