Base field \(\Q(\sqrt{53}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 13 \); class number \(1\).
Elliptic curves in class 1225.3-h over \(\Q(\sqrt{53}) \)
Isogeny class 1225.3-h contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1225.3-h1 | \( \bigl[a\) , \( -1\) , \( 0\) , \( 56 a - 228\) , \( 461 a - 1907\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
