Elliptic curve isogeny class 134199.4-c over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-134199.4-c
• Conductor: 134199.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 134199.4-c over \(\Q(\sqrt{-3}) \)

Isogeny class 134199.4-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
134199.4-c1	\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 705 a - 690\) , \( -8424 a + 4178\bigr] \)
134199.4-c2	\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 755 a - 685\) , \( -7908 a + 4940\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph