# Properties

 Label 152880gd Number of curves $1$ Conductor $152880$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("gd1")

sage: E.isogeny_class()

## Elliptic curves in class 152880gd

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152880.gq1 152880gd1 $$[0, 1, 0, 81520, 852228]$$ $$10149078716/5923125$$ $$-34965132209280000$$ $$[]$$ $$903168$$ $$1.8639$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 152880gd1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 152880gd do not have complex multiplication.

## Modular form 152880.2.a.gd

sage: E.q_eigenform(10)

$$q + q^{3} + q^{5} + q^{9} - 3q^{11} - q^{13} + q^{15} + q^{17} - q^{19} + O(q^{20})$$