Base field \(\Q(\sqrt{-39}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 10 \); class number \(4\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 82.2-b over \(\Q(\sqrt{-39}) \)
Isogeny class 82.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 82.2-b1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 3 a + 11\) , \( -7 a - 23\bigr] \) |