Base field \(\Q(\sqrt{209}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 52 \); class number \(1\).
Elliptic curves in class 4.2-b over \(\Q(\sqrt{209}) \)
Isogeny class 4.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
4.2-b1 | \( \bigl[0\) , \( -1\) , \( a\) , \( -37023561 a + 286133487\) , \( -1880699198318 a + 14534826052669\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)