# Properties

 Label 405600.gy Number of curves $1$ Conductor $405600$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("gy1")

sage: E.isogeny_class()

## Elliptic curves in class 405600.gy

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.gy1 405600gy1 $$[0, 1, 0, 52672, 37595208]$$ $$261568120/10024911$$ $$-619370632179187200$$ $$[]$$ $$4354560$$ $$2.0938$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 405600.gy1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 405600.gy do not have complex multiplication.

## Modular form 405600.2.a.gy

sage: E.q_eigenform(10)

$$q + q^{3} + 4q^{7} + q^{9} + 3q^{19} + O(q^{20})$$