Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 19404.2-a over \(\Q(\sqrt{-11}) \)
Isogeny class 19404.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19404.2-a1 | \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -163 a + 138\) , \( -715 a - 354\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
