# Properties

 Label 4864.a Number of curves $1$ Conductor $4864$ CM no Rank $2$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("a1")

sage: E.isogeny_class()

## Elliptic curves in class 4864.a

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4864.a1 4864l1 $$[0, 0, 0, -22, 40]$$ $$-2299968/19$$ $$-9728$$ $$[]$$ $$960$$ $$-0.40811$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 4864.a1 has rank $$2$$.

## Complex multiplication

The elliptic curves in class 4864.a do not have complex multiplication.

## Modular form4864.2.a.a

sage: E.q_eigenform(10)

$$q - 3q^{3} - 4q^{5} + q^{7} + 6q^{9} - 5q^{13} + 12q^{15} - 5q^{17} - q^{19} + O(q^{20})$$