Base field \(\Q(\sqrt{53}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 13 \); class number \(1\).
Elliptic curves in class 28.2-d over \(\Q(\sqrt{53}) \)
Isogeny class 28.2-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28.2-d1 | \( \bigl[a\) , \( a\) , \( 0\) , \( 5 a + 3\) , \( 9 a - 15\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
