Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 50.3-n over \(\Q(\sqrt{19}) \)
Isogeny class 50.3-n contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50.3-n1 | \( \bigl[1\) , \( -1\) , \( 1\) , \( 66 a - 288\) , \( -13818 a + 60231\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
