Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 4761.2-h over \(\Q(\sqrt{3}) \)
Isogeny class 4761.2-h contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4761.2-h1 | \( \bigl[1\) , \( a - 1\) , \( a\) , \( -29 a + 6\) , \( -7 a - 112\bigr] \) |