Elliptic curve isogeny class 20736.1-CMc over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-20736.1-CMc
• Conductor: 20736.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 20736.1-CMc over \(\Q(\sqrt{-3}) \)

Isogeny class 20736.1-CMc contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
20736.1-CMc1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -96 a + 48\bigr] \)
20736.1-CMc2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 161 a - 160\) , \( 846 a - 343\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph