Base field \(\Q(\sqrt{7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).
Elliptic curves in class 338.1-q over \(\Q(\sqrt{7}) \)
Isogeny class 338.1-q contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
338.1-q1 | \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 13879 a - 36719\) , \( -1456495 a + 3853523\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)