# Properties

 Label 382200.dy Number of curves $1$ Conductor $382200$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("dy1")

sage: E.isogeny_class()

## Elliptic curves in class 382200.dy

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
382200.dy1 382200dy1 $$[0, -1, 0, 41592, 286812]$$ $$10149078716/5923125$$ $$-4643730000000000$$ $$[]$$ $$1548288$$ $$1.6956$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 382200.dy1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 382200.dy do not have complex multiplication.

## Modular form 382200.2.a.dy

sage: E.q_eigenform(10)

$$q - q^{3} + q^{9} + 3q^{11} - q^{13} + q^{17} - q^{19} + O(q^{20})$$