Base field \(\Q(\sqrt{53}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 13 \); class number \(1\).
Elliptic curves in class 25.1-a over \(\Q(\sqrt{53}) \)
Isogeny class 25.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-a1 | \( \bigl[1\) , \( 0\) , \( a + 1\) , \( -2 a - 5\) , \( a + 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)