Base field \(\Q(\sqrt{157}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 39 \); class number \(1\).
Elliptic curves in class 12.2-b over \(\Q(\sqrt{157}) \)
Isogeny class 12.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
12.2-b1 | \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -9 a - 49\) , \( 308 a + 1770\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)