Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-5324.7-a
Conductor 5324.7
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 5324.7-a over \(\Q(\sqrt{-7}) \)

Isogeny class 5324.7-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
5324.7-a1 \( \bigl[1\) , \( -a + 1\) , \( a\) , \( 44 a - 37\) , \( 279 a - 159\bigr] \)
5324.7-a2 \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -396 a + 348\) , \( -6354 a + 6144\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph