# Properties

 Label 51600.bq Number of curves $1$ Conductor $51600$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bq1")

sage: E.isogeny_class()

## Elliptic curves in class 51600.bq

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.bq1 51600j1 $$[0, -1, 0, 132, 55152]$$ $$39443120/205667667$$ $$-1316273068800$$ $$[]$$ $$59136$$ $$1.0044$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 51600.bq1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 51600.bq do not have complex multiplication.

## Modular form 51600.2.a.bq

sage: E.q_eigenform(10)

$$q - q^{3} + 2q^{7} + q^{9} + 5q^{11} - 3q^{13} + 2q^{17} - 2q^{19} + O(q^{20})$$