Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-1764.1-d
Conductor 1764.1
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{21}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).

Elliptic curves in class 1764.1-d over \(\Q(\sqrt{21}) \)

Isogeny class 1764.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
1764.1-d1 \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 9\) , \( 3 a - 8\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph