# Properties

 Label 229320bi Number of curves $1$ Conductor $229320$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bi1")

sage: E.isogeny_class()

## Elliptic curves in class 229320bi

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.v1 229320bi1 $$[0, 0, 0, -60438, -35231987]$$ $$-42717947152384/913520014875$$ $$-522109575221598000$$ $$[]$$ $$3110400$$ $$2.0806$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320bi1 has rank $$1$$.

## Complex multiplication

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

## Modular form 229320.2.a.bi

sage: E.q_eigenform(10)

$$q - q^{5} - 3q^{11} + q^{13} - 5q^{17} - 8q^{19} + O(q^{20})$$