Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-40000.2-a
Conductor 40000.2
Rank \( 1 \)

Related objects

Learn more

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

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

Elliptic curves in class 40000.2-a over \(\Q(\sqrt{-7}) \)

Isogeny class 40000.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
40000.2-a1 \( \bigl[a\) , \( -1\) , \( 0\) , \( 3 a + 3\) , \( -2 a + 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph