Properties

Base field \(\Q(\sqrt{53}) \)
Label 2.2.53.1-1156.1-b
Conductor 1156.1
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 1156.1-b over \(\Q(\sqrt{53}) \)

Isogeny class 1156.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
1156.1-b1 \( \bigl[a\) , \( 1\) , \( 1\) , \( -6066 a - 19059\) , \( -502179 a - 1576915\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph