Properties

Base field 4.4.8768.1
Label 4.4.8768.1-28.4-c
Conductor 28.4
Rank \( 0 \)

Related objects

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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 28.4-c over 4.4.8768.1

Isogeny class 28.4-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
28.4-c1 \( \bigl[a^{3} - a^{2} - 4 a\) , \( -a^{2} + 2\) , \( a + 1\) , \( -2 a^{3} - 2 a^{2} + 7 a + 8\) , \( a^{3} - 2 a^{2} - 9 a - 5\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph