Properties

Base field \(\Q(\sqrt{53}) \)
Label 2.2.53.1-847.5-f
Conductor 847.5
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 847.5-f over \(\Q(\sqrt{53}) \)

Isogeny class 847.5-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
847.5-f1 \( \bigl[0\) , \( a\) , \( 1\) , \( 5939 a - 24600\) , \( 479701 a - 1986040\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph