# Properties

 Label 7056.cc Number of curves $1$ Conductor $7056$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("cc1")

sage: E.isogeny_class()

## Elliptic curves in class 7056.cc

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.cc1 7056k1 $$[0, 0, 0, -2268, 41580]$$ $$-5225472$$ $$-246903552$$ $$[]$$ $$5760$$ $$0.61111$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 7056.cc1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 7056.cc do not have complex multiplication.

## Modular form7056.2.a.cc

sage: E.q_eigenform(10)

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