Elliptic curve isogeny class 16.12-c over number field 3.3.961.1

• Base field: 3.3.961.1
• Label: 3.3.961.1-16.12-c
• Conductor: 16.12
• Rank: \( 1 \)

Base field 3.3.961.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 10 x + 8 \); class number \(1\).

Elliptic curves in class 16.12-c over 3.3.961.1

Isogeny class 16.12-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
16.12-c1	\( \bigl[a\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 4\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - 3\) , \( -\frac{95}{2} a^{2} - \frac{219}{2} a + 120\) , \( 2687 a^{2} + 6172 a - 6523\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph