# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ec1")

sage: E.isogeny_class()

## Elliptic curves in class 229320ec

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.t1 229320ec1 $$[0, 0, 0, 733677, 22276478]$$ $$10149078716/5923125$$ $$-25489581380565120000$$ $$[]$$ $$3612672$$ $$2.4132$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320ec1 has rank $$0$$.

## Complex multiplication

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

## Modular form 229320.2.a.ec

sage: E.q_eigenform(10)

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