Properties

Base field \(\Q(\sqrt{-163}) \)
Label 2.0.163.1-784.1-a
Conductor 784.1
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-163}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 41 \); class number \(1\).

Elliptic curves in class 784.1-a over \(\Q(\sqrt{-163}) \)

Isogeny class 784.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
784.1-a1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -16\) , \( -4 a + 8\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph