Elliptic curve isogeny class 3600.1-e over number field \(\Q(\sqrt{3}) \)

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-3600.1-e
• Conductor: 3600.1
• Rank: \( 0 \)

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

Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).

Elliptic curves in class 3600.1-e over \(\Q(\sqrt{3}) \)

Isogeny class 3600.1-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
3600.1-e1	\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -349 a + 601\) , \( 36040 a - 62425\bigr] \)
3600.1-e2	\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 43 a - 87\) , \( 238 a - 391\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph