Base field \(\Q(\sqrt{55}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 55 \); class number \(2\).
Elliptic curves in class 8.1-e over \(\Q(\sqrt{55}) \)
Isogeny class 8.1-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
8.1-e1 | \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 2 a - 3\) , \( 21 a - 151\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 1\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)