Elliptic curve isogeny class 5.2-b over number field 3.3.1620.1

• Base field: 3.3.1620.1
• Label: 3.3.1620.1-5.2-b
• Conductor: 5.2
• Rank: \( 0 \)

Base field 3.3.1620.1

Generator \(a\), with minimal polynomial \( x^{3} - 12 x - 14 \); class number \(1\).

Elliptic curves in class 5.2-b over 3.3.1620.1

Isogeny class 5.2-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
5.2-b1	\( \bigl[a^{2} - a - 8\) , \( a^{2} - a - 8\) , \( a + 1\) , \( 8 a^{2} - 20 a - 44\) , \( 219 a^{2} - 561 a - 1204\bigr] \)
5.2-b2	\( \bigl[a\) , \( -a^{2} + 2 a + 8\) , \( 1\) , \( -203 a^{2} + 518 a + 1118\) , \( 3186 a^{2} - 8132 a - 17473\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph