Properties

Base field \(\Q(\sqrt{53}) \)
Label 2.2.53.1-28.1-d
Conductor 28.1
Rank \( 1 \)

Related objects

Learn more about

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

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

Elliptic curves in class 28.1-d over \(\Q(\sqrt{53}) \)

Isogeny class 28.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
28.1-d1 \( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( 4 a + 14\) , \( -5 a - 16\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph