Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 152.1-b over \(\Q(\sqrt{19}) \)
Isogeny class 152.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 152.1-b1 | \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 27629 a - 120395\) , \( 7448822 a - 32468619\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
