# Properties

 Label 32340.be Number of curves $1$ Conductor $32340$ CM no Rank $1$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 32340.be

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.be1 32340bh1 $$[0, 1, 0, 301579, 2089287255]$$ $$100715742101504/62663434246875$$ $$-1887306336181912800000$$ $$[]$$ $$1451520$$ $$2.7615$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 32340.be1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 32340.be do not have complex multiplication.

## Modular form 32340.2.a.be

sage: E.q_eigenform(10)

$$q + q^{3} - q^{5} + q^{9} + q^{11} - 4q^{13} - q^{15} + 5q^{17} + 5q^{19} + O(q^{20})$$