Elliptic curve isogeny class 300.3-d over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-300.3-d
• Conductor: 300.3
• Rank: \( 0 \)

Base field \(\Q(\sqrt{6}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).

Elliptic curves in class 300.3-d over \(\Q(\sqrt{6}) \)

Isogeny class 300.3-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
300.3-d1	\( \bigl[a\) , \( a - 1\) , \( a\) , \( 330 a + 805\) , \( 1643 a + 4023\bigr] \)
300.3-d2	\( \bigl[a\) , \( a - 1\) , \( a\) , \( -85 a - 210\) , \( 84 a + 204\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph