Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-875.2-c
Conductor 875.2
Rank \( 0 \)

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 875.2-c over \(\Q(\sqrt{21}) \)

Isogeny class 875.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
875.2-c1 \( \bigl[0\) , \( a\) , \( 1\) , \( -40 a + 102\) , \( 2771 a - 7762\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph