Elliptic curve isogeny class 242.3-c over number field 3.3.316.1

• Base field: 3.3.316.1
• Label: 3.3.316.1-242.3-c
• Conductor: 242.3
• Rank: \( 1 \)

Base field 3.3.316.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 4 x + 2 \); class number \(1\).

Elliptic curves in class 242.3-c over 3.3.316.1

Isogeny class 242.3-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
242.3-c1	\( \bigl[a\) , \( a^{2} - 3\) , \( 1\) , \( a^{2} - 2\) , \( -2 a^{2} + 2 a + 10\bigr] \)
242.3-c2	\( \bigl[a\) , \( -a^{2} + 2\) , \( a + 1\) , \( 422 a^{2} - 224 a - 1795\) , \( -6651 a^{2} + 3520 a + 28260\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph