Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 76.1-a over \(\Q(\sqrt{19}) \)
Isogeny class 76.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 76.1-a1 | \( \bigl[0\) , \( -1\) , \( a + 1\) , \( 70720 a - 308261\) , \( 21432885 a - 93423787\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
