Base field \(\Q(\sqrt{55}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 55 \); class number \(2\).
Elliptic curves in class 8.1-a over \(\Q(\sqrt{55}) \)
Isogeny class 8.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.1-a1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a - 3\) , \( -21 a - 151\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 1\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
