Base field \(\Q(\sqrt{-51}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 13 \); class number \(2\).
Elliptic curves in class 67.1-a over \(\Q(\sqrt{-51}) \)
Isogeny class 67.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 67.1-a1 | \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -a + 2\) , \( 3 a + 5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
