Properties

Base field 3.3.1620.1
Label 3.3.1620.1-10.1-a
Conductor 10.1
Rank \( 0 \)

Related objects

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Base field 3.3.1620.1

Generator \(a\), with minimal polynomial \( x^{3} - 12 x - 14 \); class number \(1\).

Elliptic curves in class 10.1-a over 3.3.1620.1

Isogeny class 10.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-a1 \( \bigl[a + 1\) , \( -a^{2} + 3 a + 7\) , \( 0\) , \( -12 a^{2} + 19 a + 141\) , \( -3110 a^{2} + 4332 a + 31309\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph