# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bk1")

sage: E.isogeny_class()

## Elliptic curves in class 7056.bk

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.bk1 7056n1 $$[0, 0, 0, 17493, -2012038]$$ $$68782/243$$ $$-2091452831225856$$ $$[]$$ $$26880$$ $$1.6227$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 7056.bk1 has rank $$0$$.

## Complex multiplication

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

## Modular form7056.2.a.bk

sage: E.q_eigenform(10)

$$q + q^{5} + 3q^{11} + 4q^{13} + 4q^{19} + O(q^{20})$$