# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ct1")

sage: E.isogeny_class()

## Elliptic curves in class 119952.ct

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.ct1 119952cm1 $$[0, 0, 0, -63, 154]$$ $$81648/17$$ $$5757696$$ $$[]$$ $$16128$$ $$0.012181$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 119952.ct1 has rank $$1$$.

## Complex multiplication

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

## Modular form 119952.2.a.ct

sage: E.q_eigenform(10)

$$q - q^{5} - q^{13} - q^{17} + O(q^{20})$$