Properties

Base field 4.4.8768.1
Label 4.4.8768.1-28.1-c
Conductor 28.1
Rank \( 0 \)

Related objects

Learn more

Base field 4.4.8768.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 7 \); class number \(1\).

Elliptic curves in class 28.1-c over 4.4.8768.1

Isogeny class 28.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
28.1-c1 \( \bigl[a^{3} - 5 a - 2\) , \( a^{3} - 5 a - 2\) , \( 1\) , \( 2 a^{3} - 5 a^{2} + 4 a\) , \( 6 a^{3} - 20 a^{2} + 11 a + 10\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph