# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("h1")

sage: E.isogeny_class()

## Elliptic curves in class 64400h

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.q1 64400h1 $$[0, -1, 0, -51788633, 143467011637]$$ $$-3840316976122235063296/27784071875$$ $$-111136287500000000$$ $$[]$$ $$3456000$$ $$2.8672$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 64400h1 has rank $$0$$.

## Complex multiplication

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

## Modular form 64400.2.a.h

sage: E.q_eigenform(10)

$$q - q^{3} - q^{7} - 2q^{9} - q^{11} - 5q^{13} + 7q^{17} + 4q^{19} + O(q^{20})$$