Properties

Base field \(\Q(\sqrt{217}) \)
Label 2.2.217.1-12.1-a
Conductor 12.1
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 12.1-a over \(\Q(\sqrt{217}) \)

Isogeny class 12.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
12.1-a1 \( \bigl[1\) , \( a + 1\) , \( a\) , \( 2401258290 a - 18887000841\) , \( -1781930806827389 a + 14015705361500025\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph