Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 171.3-b over \(\Q(\sqrt{19}) \)
Isogeny class 171.3-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 171.3-b1 | \( \bigl[a\) , \( -1\) , \( 1\) , \( -1030 a - 4483\) , \( 36371 a + 158539\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
