Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-26896.5-a
Conductor 26896.5
Rank \( 2 \)

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 26896.5-a over \(\Q(\sqrt{-7}) \)

Isogeny class 26896.5-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
26896.5-a1 \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( a - 2\) , \( -2 a + 2\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph