Properties

Base field \(\Q(\sqrt{53}) \)
Label 2.2.53.1-28.2-d
Conductor 28.2
Rank \( 1 \)

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 28.2-d over \(\Q(\sqrt{53}) \)

Isogeny class 28.2-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
28.2-d1 \( \bigl[a\) , \( a\) , \( 0\) , \( 5 a + 3\) , \( 9 a - 15\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph