Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 6050.2-c over \(\Q(\sqrt{-1}) \)
Isogeny class 6050.2-c contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 6050.2-c1 | \( \bigl[i\) , \( -1\) , \( i\) , \( -5939\) , \( 178685\bigr] \) |
| 6050.2-c2 | \( \bigl[i\) , \( -1\) , \( i\) , \( 11\) , \( 45\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
