Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 22500.8-m over \(\Q(\sqrt{-11}) \)
Isogeny class 22500.8-m contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
22500.8-m1 | \( \bigl[a\) , \( a - 1\) , \( a\) , \( -103 a + 652\) , \( 3601 a + 351\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)