Base field \(\Q(\sqrt{7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).
Elliptic curves in class 432.3-h over \(\Q(\sqrt{7}) \)
Isogeny class 432.3-h contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
432.3-h1 | \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 3 a\) , \( 2 a + 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)