# Properties

 Label 115920.ea Number of curves $1$ Conductor $115920$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ea1")

sage: E.isogeny_class()

## Elliptic curves in class 115920.ea

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.ea1 115920ex1 $$[0, 0, 0, 3312528, 4148356336]$$ $$1346216501445963776/3268768272021875$$ $$-9760489759964966400000$$ $$[]$$ $$6864000$$ $$2.9033$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 115920.ea1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 115920.ea do not have complex multiplication.

## Modular form 115920.2.a.ea

sage: E.q_eigenform(10)

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