Base field \(\Q(\sqrt{61}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 15 \); class number \(1\).
Elliptic curves in class 27.1-c over \(\Q(\sqrt{61}) \)
Isogeny class 27.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 27.1-c1 | \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -128 a - 435\) , \( 1478 a + 5032\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
