Properties

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

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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)
 
\(q + q^{5} + q^{7} - 5 q^{11} + 3 q^{13} + 5 q^{17} + O(q^{20})\)  Toggle raw display