# Properties

 Label 54096.bv Number of curves $1$ Conductor $54096$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bv1")

sage: E.isogeny_class()

## Elliptic curves in class 54096.bv

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.bv1 54096cy1 $$[0, 1, 0, 7131248, 4921249556]$$ $$83228502970940543/69854999176704$$ $$-33662446789181640278016$$ $$[]$$ $$4561920$$ $$3.0102$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 54096.bv1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 54096.bv do not have complex multiplication.

## Modular form 54096.2.a.bv

sage: E.q_eigenform(10)

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