Properties

Base field 3.3.169.1
Label 3.3.169.1-47.3-a
Conductor 47.3
Rank \( 1 \)

Related objects

Learn more

Base field 3.3.169.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 4 x - 1 \); class number \(1\).

Elliptic curves in class 47.3-a over 3.3.169.1

Isogeny class 47.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
47.3-a1 \( \bigl[1\) , \( a^{2} - 3\) , \( a^{2} - a - 2\) , \( -a^{2} + 3 a + 4\) , \( a - 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph