# Properties

 Label 64400cl Number of curves $1$ Conductor $64400$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cl1")

sage: E.isogeny_class()

## Elliptic curves in class 64400cl

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.y1 64400cl1 $$[0, -1, 0, 107, -343]$$ $$4194304/3703$$ $$-118496000$$ $$[]$$ $$13056$$ $$0.23665$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 64400cl1 has rank $$1$$.

## Complex multiplication

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

## Modular form 64400.2.a.cl

sage: E.q_eigenform(10)

$$q - q^{3} + q^{7} - 2q^{9} + 3q^{11} + 3q^{13} + 3q^{17} - 6q^{19} + O(q^{20})$$