Properties

Base field 3.3.940.1
Label 3.3.940.1-16.4-c
Conductor 16.4
Rank \( 1 \)

Related objects

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Base field 3.3.940.1

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

Elliptic curves in class 16.4-c over 3.3.940.1

Isogeny class 16.4-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.4-c1 \( \bigl[a^{2} - 4\) , \( a + 1\) , \( a\) , \( -a^{2} - 3 a\) , \( a + 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph