# Properties

 Label 76440cv Number of curves $1$ Conductor $76440$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cv1")

sage: E.isogeny_class()

## Elliptic curves in class 76440cv

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.cc1 76440cv1 $$[0, 1, 0, 1664, 2960]$$ $$10149078716/5923125$$ $$-297198720000$$ $$[]$$ $$64512$$ $$0.89090$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 76440cv1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 76440cv do not have complex multiplication.

## Modular form 76440.2.a.cv

sage: E.q_eigenform(10)

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