# Properties

 Label 229320bz Number of curves $1$ Conductor $229320$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bz1")

sage: E.isogeny_class()

## Elliptic curves in class 229320bz

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.x1 229320bz1 $$[0, 0, 0, -5016963, 4501672238]$$ $$-7791602019623044/375378046875$$ $$-672803923362480000000$$ $$[]$$ $$10386432$$ $$2.7587$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320bz1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 229320bz do not have complex multiplication.

## Modular form 229320.2.a.bz

sage: E.q_eigenform(10)

$$q - q^{5} - 3q^{11} + q^{13} + 7q^{17} + 6q^{19} + O(q^{20})$$