Elliptic curve isogeny class 52804.2-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-52804.2-b
• Conductor: 52804.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 52804.2-b over \(\Q(\sqrt{-3}) \)

Isogeny class 52804.2-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
52804.2-b1	\( \bigl[a\) , \( a + 1\) , \( 1\) , \( a + 4\) , \( -2 a + 11\bigr] \)
52804.2-b2	\( \bigl[a\) , \( a + 1\) , \( 1\) , \( 261 a + 274\) , \( -2914 a + 4211\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph