Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 20736.4-d over \(\Q(\sqrt{-11}) \)
Isogeny class 20736.4-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
20736.4-d1 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -6 a + 3\) , \( 7 a - 21\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)