# Properties

 Label 15600.bu Number of curves $1$ Conductor $15600$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bu1")

sage: E.isogeny_class()

## Elliptic curves in class 15600.bu

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bu1 15600cx1 $$[0, 1, 0, -60613, 5821103]$$ $$-769623354048512/15247889631$$ $$-487932468192000$$ $$[]$$ $$67200$$ $$1.6113$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15600.bu1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 15600.bu do not have complex multiplication.

## Modular form 15600.2.a.bu

sage: E.q_eigenform(10)

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