Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 4900.2-b over \(\Q(\sqrt{-1}) \)
Isogeny class 4900.2-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4900.2-b1 | \( \bigl[0\) , \( i\) , \( i + 1\) , \( 201\) , \( -1033 i\bigr] \) |
| 4900.2-b2 | \( \bigl[0\) , \( i\) , \( i + 1\) , \( 1\) , \( -3 i\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
