Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-676.1-d
Conductor 676.1
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 676.1-d over \(\Q(\sqrt{21}) \)

Isogeny class 676.1-d contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
676.1-d1 \( \bigl[1\) , \( -1\) , \( 1\) , \( -213\) , \( -1257\bigr] \)
676.1-d2 \( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph