Base field \(\Q(\sqrt{105}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 26 \); class number \(2\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 36.3-b over \(\Q(\sqrt{105}) \)
Isogeny class 36.3-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 36.3-b1 | \( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( -226 a + 1263\bigr] \) |
| 36.3-b2 | \( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( -a - 15\bigr] \) |