# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("dz1")

sage: E.isogeny_class()

## Elliptic curves in class 119952.dz

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.dz1 119952h1 $$[0, 0, 0, 588, 1372]$$ $$27648/17$$ $$-13824228096$$ $$[]$$ $$46080$$ $$0.63496$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 119952.dz1 has rank $$1$$.

## Complex multiplication

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

## Modular form 119952.2.a.dz

sage: E.q_eigenform(10)

$$q + q^{5} - 3q^{11} + q^{13} + q^{17} - 3q^{19} + O(q^{20})$$