Base field \(\Q(\sqrt{197}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 49 \); class number \(1\).
Elliptic curves in class 28.1-a over \(\Q(\sqrt{197}) \)
Isogeny class 28.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
28.1-a1 | \( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -80 a + 834\) , \( -4565 a + 35020\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 1\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)