Base field \(\Q(\sqrt{129}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 32 \); class number \(1\).
Elliptic curves in class 4.2-a over \(\Q(\sqrt{129}) \)
Isogeny class 4.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4.2-a1 | \( \bigl[0\) , \( -a\) , \( a\) , \( -393024 a + 2428472\) , \( 255241909 a - 1577116380\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
