Elliptic curve isogeny class 149769.3-CMb over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-149769.3-CMb
• Conductor: 149769.3
• Rank: \( 2 \)

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

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

Elliptic curves in class 149769.3-CMb over \(\Q(\sqrt{-3}) \)

Isogeny class 149769.3-CMb contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
149769.3-CMb1	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -390 a + 53\bigr] \)
149769.3-CMb2	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 481 a - 350\) , \( 3858 a - 776\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph