# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cl1")

sage: E.isogeny_class()

## Elliptic curves in class 229320cl

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.m1 229320cl1 $$[0, 0, 0, 28812, -6790028]$$ $$1354752/10985$$ $$-21447871098151680$$ $$[]$$ $$1725696$$ $$1.8151$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320cl1 has rank $$0$$.

## Complex multiplication

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

## Modular form 229320.2.a.cl

sage: E.q_eigenform(10)

$$q - q^{5} - 4q^{11} + q^{13} - 3q^{17} + 6q^{19} + O(q^{20})$$