# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ep1")

sage: E.isogeny_class()

## Elliptic curves in class 229320.ep

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.ep1 229320en1 $$[0, 0, 0, 259308, 52639524]$$ $$1354752/1625$$ $$-2312943495643872000$$ $$[]$$ $$2757888$$ $$2.2100$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320.ep1 has rank $$0$$.

## Complex multiplication

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

## Modular form 229320.2.a.ep

sage: E.q_eigenform(10)

$$q + q^{5} + 3q^{11} + q^{13} + 2q^{17} + 4q^{19} + O(q^{20})$$