# Properties

 Label 15680.bh Number of curves $1$ Conductor $15680$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bh1")

sage: E.isogeny_class()

## Elliptic curves in class 15680.bh

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.bh1 15680ck1 $$[0, -1, 0, 859, -30659]$$ $$12459008/78125$$ $$-439040000000$$ $$[]$$ $$14336$$ $$0.91581$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680.bh1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 15680.bh do not have complex multiplication.

## Modular form 15680.2.a.bh

sage: E.q_eigenform(10)

$$q - q^{3} - q^{5} - 2q^{9} + 3q^{11} - q^{13} + q^{15} - 5q^{17} - 6q^{19} + O(q^{20})$$