Elliptic curve isogeny class 3750.1-d over number field \(\Q(\sqrt{3}) \)

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-3750.1-d
• Conductor: 3750.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 3750.1-d over \(\Q(\sqrt{3}) \)

Isogeny class 3750.1-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
3750.1-d1	\( \bigl[a\) , \( a + 1\) , \( 0\) , \( -1478 a + 2564\) , \( -36815 a + 63767\bigr] \)
3750.1-d2	\( \bigl[1\) , \( -a\) , \( a\) , \( 666 a - 1137\) , \( 12657 a - 21942\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph