Properties

Base field \(\Q(\sqrt{53}) \)
Label 2.2.53.1-4.1-a
Conductor 4.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{53}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 13 \); class number \(1\).

Elliptic curves in class 4.1-a over \(\Q(\sqrt{53}) \)

Isogeny class 4.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
4.1-a1 \( \bigl[a\) , \( a\) , \( 1\) , \( -40 a - 124\) , \( 801 a + 2515\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph