# Properties

 Label 64400bd Number of curves $1$ Conductor $64400$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bd1")

sage: E.isogeny_class()

## Elliptic curves in class 64400bd

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.ba1 64400bd1 $$[0, 0, 0, 4285, -2176830]$$ $$84972077055/20040095362$$ $$-2052105765068800$$ $$[]$$ $$193536$$ $$1.6173$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 64400bd1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 64400bd do not have complex multiplication.

## Modular form 64400.2.a.bd

sage: E.q_eigenform(10)

$$q - q^{7} - 3q^{9} - 4q^{11} + 3q^{13} + q^{17} + O(q^{20})$$