Base field \(\Q(\sqrt{53}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 13 \); class number \(1\).
Elliptic curves in class 49.1-d over \(\Q(\sqrt{53}) \)
Isogeny class 49.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 49.1-d1 | \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 5\) , \( -4 a + 9\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
