Base field \(\Q(\sqrt{109}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 27 \); class number \(1\).
Elliptic curves in class 15.1-d over \(\Q(\sqrt{109}) \)
Isogeny class 15.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 15.1-d1 | \( \bigl[0\) , \( -a - 1\) , \( a\) , \( -5 a - 19\) , \( -6 a - 32\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
