# Properties

 Label 435344.r Number of curves $1$ Conductor $435344$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("r1")

sage: E.isogeny_class()

## Elliptic curves in class 435344.r

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.r1 435344r1 $$[0, -1, 0, 958, 98383]$$ $$1257728/55223$$ $$-4264813974512$$ $$[]$$ $$449280$$ $$1.1032$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 435344.r1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 435344.r do not have complex multiplication.

## Modular form 435344.2.a.r

sage: E.q_eigenform(10)

$$q - q^{3} + 2q^{5} - q^{7} - 2q^{9} - 2q^{11} - 2q^{15} - 6q^{19} + O(q^{20})$$