Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-2116.5-a
Conductor 2116.5
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 2116.5-a over \(\Q(\sqrt{-7}) \)

Isogeny class 2116.5-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
2116.5-a1 \( \bigl[1\) , \( -1\) , \( 0\) , \( -10\) , \( -12\bigr] \)
2116.5-a2 \( \bigl[1\) , \( -1\) , \( 0\) , \( -170\) , \( -812\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph