# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("dc1")

sage: E.isogeny_class()

## Elliptic curves in class 229320.dc

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.dc1 229320ci1 $$[0, 0, 0, 588, 5684]$$ $$1354752/1625$$ $$-26968032000$$ $$[]$$ $$131328$$ $$0.68770$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320.dc1 has rank $$1$$.

## Complex multiplication

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

## Modular form 229320.2.a.dc

sage: E.q_eigenform(10)

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