# Properties

 Label 119952.gv Number of curves $1$ Conductor $119952$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("gv1")

sage: E.isogeny_class()

## Elliptic curves in class 119952.gv

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.gv1 119952bp1 $$[0, 0, 0, -39396, 3030748]$$ $$-307981312/2499$$ $$-54868361313024$$ $$[]$$ $$491520$$ $$1.4637$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 119952.gv1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 119952.gv do not have complex multiplication.

## Modular form 119952.2.a.gv

sage: E.q_eigenform(10)

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