Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-4900.2-k
Conductor 4900.2
Rank \( 0 \)

Related objects

Learn more about

Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).

Elliptic curves in class 4900.2-k over \(\Q(\sqrt{-7}) \)

Isogeny class 4900.2-k contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
4900.2-k1 \( \bigl[1\) , \( -1\) , \( 1\) , \( -132\) , \( -549\bigr] \)
4900.2-k2 \( \bigl[1\) , \( -1\) , \( 1\) , \( 918\) , \( 5289\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph