Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-42592.18-e
Conductor 42592.18
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 42592.18-e over \(\Q(\sqrt{-7}) \)

Isogeny class 42592.18-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
42592.18-e1 \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 4 a - 4\) , \( 5 a - 4\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph