Elliptic curve isogeny class 338.1-g over number field \(\Q(\sqrt{7}) \)

• Base field: \(\Q(\sqrt{7}) \)
• Label: 2.2.28.1-338.1-g
• Conductor: 338.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{7}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).

Elliptic curves in class 338.1-g over \(\Q(\sqrt{7}) \)

Isogeny class 338.1-g contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
338.1-g1	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 40 a + 111\) , \( -3847 a - 10177\bigr] \)
338.1-g2	\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 1879 a - 4969\) , \( -68751 a + 181895\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph