Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 4761.2-e over \(\Q(\sqrt{3}) \)
Isogeny class 4761.2-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4761.2-e1 | \( \bigl[a\) , \( a\) , \( 1\) , \( -1580 a - 2769\) , \( 8982 a + 15644\bigr] \) |