Elliptic curve isogeny class 50052.4-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-50052.4-a
• Conductor: 50052.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 50052.4-a over \(\Q(\sqrt{-3}) \)

Isogeny class 50052.4-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
50052.4-a1	\( \bigl[a\) , \( -a\) , \( 1\) , \( 46 a - 23\) , \( 387 a + 338\bigr] \)
50052.4-a2	\( \bigl[a\) , \( -a\) , \( 1\) , \( -524 a + 1097\) , \( 9495 a + 2250\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph