Properties

Base field 3.3.993.1
Label 3.3.993.1-15.1-c
Conductor 15.1
Rank \( 1 \)

Related objects

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Base field 3.3.993.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 3 \); class number \(1\).

Elliptic curves in class 15.1-c over 3.3.993.1

Isogeny class 15.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
15.1-c1 \( \bigl[a^{2} - 4\) , \( a^{2} - a - 3\) , \( a^{2} + a - 4\) , \( -10 a^{2} + 19 a - 13\) , \( 15 a^{2} - 92 a + 38\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph