Base field \(\Q(\sqrt{341}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 85 \); class number \(1\).
Elliptic curves in class 5.1-a over \(\Q(\sqrt{341}) \)
Isogeny class 5.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
5.1-a1 | \( \bigl[0\) , \( a + 1\) , \( a + 1\) , \( 6 a - 20\) , \( -236 a + 2314\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)