Base field \(\Q(\sqrt{157}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 39 \); class number \(1\).
Elliptic curves in class 9.2-a over \(\Q(\sqrt{157}) \)
Isogeny class 9.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
9.2-a1 | \( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( 7 a + 27\) , \( -10 a - 66\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)