# Properties

 Label 3330.p Number of curves $1$ Conductor $3330$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("p1")

sage: E.isogeny_class()

## Elliptic curves in class 3330.p

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3330.p1 3330q1 $$[1, -1, 1, 112, 627]$$ $$214921799/378880$$ $$-276203520$$ $$[]$$ $$1056$$ $$0.30458$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 3330.p1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 3330.p do not have complex multiplication.

## Modular form3330.2.a.p

sage: E.q_eigenform(10)

$$q + q^{2} + q^{4} - q^{5} + q^{7} + q^{8} - q^{10} - 3q^{11} + q^{14} + q^{16} - 3q^{17} - 6q^{19} + O(q^{20})$$