Properties

Base field \(\Q(\sqrt{65}) \)
Label 2.2.65.1-52.1-f
Conductor 52.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{65}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).

Elliptic curves in class 52.1-f over \(\Q(\sqrt{65}) \)

Isogeny class 52.1-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
52.1-f1 \( \bigl[1\) , \( 1\) , \( a\) , \( a - 10\) , \( -3 a + 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph