Properties

Base field 3.3.940.1
Label 3.3.940.1-16.1-a
Conductor 16.1
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 16.1-a over 3.3.940.1

Isogeny class 16.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.1-a1 \( \bigl[0\) , \( a^{2} - 4\) , \( a^{2} - a - 4\) , \( a + 5\) , \( 2 a^{2} - 2 a - 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph