# Properties

 Label 119952.cd Number of curves $1$ Conductor $119952$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cd1")

sage: E.isogeny_class()

## Elliptic curves in class 119952.cd

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.cd1 119952dp1 $$[0, 0, 0, 1326661917, 237252167911906]$$ $$15001431500460925919/1421324083670155776$$ $$-24466109291205290042531757686784$$ $$[]$$ $$255467520$$ $$4.7023$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 119952.cd1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 119952.cd do not have complex multiplication.

## Modular form 119952.2.a.cd

sage: E.q_eigenform(10)

$$q - q^{5} - 6q^{11} - q^{17} + 3q^{19} + O(q^{20})$$