Properties

Base field \(\Q(\sqrt{113}) \)
Label 2.2.113.1-14.1-d
Conductor 14.1
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{113}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 28 \); class number \(1\).

Elliptic curves in class 14.1-d over \(\Q(\sqrt{113}) \)

Isogeny class 14.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
14.1-d1 \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( -a - 5\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph