# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("eg1")

sage: E.isogeny_class()

## Elliptic curves in class 119952.eg

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.eg1 119952ep1 $$[0, 0, 0, -2946027, -1954082662]$$ $$-3352478521/15606$$ $$-13163139352439709696$$ $$[]$$ $$2515968$$ $$2.5191$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 119952.eg1 has rank $$0$$.

## Complex multiplication

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

## Modular form 119952.2.a.eg

sage: E.q_eigenform(10)

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