Elliptic curve isogeny class 1.1-a over number field \(\Q(\sqrt{337}) \)

• Base field: \(\Q(\sqrt{337}) \)
• Label: 2.2.337.1-1.1-a
• Conductor: 1.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{337}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 84 \); class number \(1\).

Elliptic curves in class 1.1-a over \(\Q(\sqrt{337}) \)

Isogeny class 1.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
1.1-a1	\( \bigl[1\) , \( -1\) , \( 0\) , \( 43 a - 416\) , \( 439 a - 4249\bigr] \)
1.1-a2	\( \bigl[1\) , \( -1\) , \( 0\) , \( -43 a - 373\) , \( -439 a - 3810\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph