# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cb1")

sage: E.isogeny_class()

## Elliptic curves in class 229320.cb

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.cb1 229320ey1 $$[0, 0, 0, 5292, -153468]$$ $$1354752/1625$$ $$-19659695328000$$ $$[]$$ $$393984$$ $$1.2370$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320.cb1 has rank $$1$$.

## Complex multiplication

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

## Modular form 229320.2.a.cb

sage: E.q_eigenform(10)

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