# Properties

 Label 154560.fw Number of curves $1$ Conductor $154560$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("fw1")

sage: E.isogeny_class()

## Elliptic curves in class 154560.fw

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
154560.fw1 154560fg1 $$[0, 1, 0, -4501, -117901]$$ $$-615640662016/978075$$ $$-16024780800$$ $$[]$$ $$168960$$ $$0.85609$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 154560.fw1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 154560.fw do not have complex multiplication.

## Modular form 154560.2.a.fw

sage: E.q_eigenform(10)

$$q + q^{3} - q^{5} + q^{7} + q^{9} + q^{11} - 4q^{13} - q^{15} + 6q^{17} - 7q^{19} + O(q^{20})$$