# Properties

 Label 405600be Number of curves $1$ Conductor $405600$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("be1")

sage: E.isogeny_class()

## Elliptic curves in class 405600be

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.be1 405600be1 $$[0, -1, 0, -433, -15263]$$ $$-832/9$$ $$-97344000000$$ $$[]$$ $$331776$$ $$0.79053$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 405600be1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 405600be do not have complex multiplication.

## Modular form 405600.2.a.be

sage: E.q_eigenform(10)

$$q - q^{3} - 2q^{7} + q^{9} - 2q^{11} + 3q^{17} + 6q^{19} + O(q^{20})$$