Properties

Base field \(\Q(\sqrt{217}) \)
Label 2.2.217.1-6.2-a
Conductor 6.2
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{217}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 54 \); class number \(1\).

Elliptic curves in class 6.2-a over \(\Q(\sqrt{217}) \)

Isogeny class 6.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
6.2-a1 \( \bigl[a + 1\) , \( 0\) , \( a\) , \( 1454820719431 a + 9988013356524\) , \( 857134272549098597 a + 5884621003953910568\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph