Elliptic curve isogeny class 242.3-a over number field 3.3.316.1

• Base field: 3.3.316.1
• Label: 3.3.316.1-242.3-a
• Conductor: 242.3
• Rank: \( 0 \)

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-a over 3.3.316.1

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

Curve label	Weierstrass Coefficients
242.3-a1	\( \bigl[a\) , \( a^{2} + a - 4\) , \( a + 1\) , \( -5 a^{2} + 15 a - 3\) , \( 33 a^{2} - 93 a + 35\bigr] \)
242.3-a2	\( \bigl[a\) , \( a^{2} - 2\) , \( a^{2} + a - 3\) , \( 14 a^{2} + 15 a - 111\) , \( -78 a^{2} - 26 a + 485\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph