Elliptic curve isogeny class 50176.2-j over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-50176.2-j
• Conductor: 50176.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 50176.2-j over \(\Q(\sqrt{-3}) \)

Isogeny class 50176.2-j contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
50176.2-j1	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -a + 3\) , \( a\bigr] \)
50176.2-j2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -11 a + 13\) , \( -7 a - 14\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph