Properties

Base field 3.3.1620.1
Label 3.3.1620.1-10.1-c
Conductor 10.1
Rank \( 1 \)

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-c over 3.3.1620.1

Isogeny class 10.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-c1 \( \bigl[a^{2} - a - 7\) , \( a^{2} - a - 8\) , \( a^{2} - 2 a - 8\) , \( 2 a^{2} + 6 a - 1\) , \( 6 a^{2} + 24 a + 19\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph