Base field \(\Q(\sqrt{209}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 52 \); class number \(1\).
Elliptic curves in class 4.1-b over \(\Q(\sqrt{209}) \)
Isogeny class 4.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4.1-b1 | \( \bigl[1\) , \( -1\) , \( a + 1\) , \( 402 a - 3111\) , \( 267564 a - 2067865\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
