Base field \(\Q(\sqrt{53}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 13 \); class number \(1\).
Elliptic curves in class 28.2-a over \(\Q(\sqrt{53}) \)
Isogeny class 28.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
28.2-a1 | \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 9 a - 39\) , \( 43 a - 178\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)