Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-4900.1-a
Conductor 4900.1
Rank \( 1 \)

Related objects

Learn more

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

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

Elliptic curves in class 4900.1-a over \(\Q(\sqrt{3}) \)

Isogeny class 4900.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
4900.1-a1 \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 32 a + 56\) , \( 397 a + 688\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph