Base field \(\Q(\sqrt{55}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 55 \); class number \(2\).
Elliptic curves in class 8.1-c over \(\Q(\sqrt{55}) \)
Isogeny class 8.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.1-c1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 4038 a - 29923\) , \( -371669 a + 2756349\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
