# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("o1")

sage: E.isogeny_class()

## Elliptic curves in class 7056.o

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.o1 7056bu1 $$[0, 0, 0, 57624, 1142876]$$ $$401408/243$$ $$-12810148591258368$$ $$[]$$ $$40320$$ $$1.7800$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 7056.o1 has rank $$0$$.

## Complex multiplication

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

## Modular form7056.2.a.o

sage: E.q_eigenform(10)

$$q - 2q^{5} + 2q^{11} + 3q^{13} + 8q^{17} - q^{19} + O(q^{20})$$