Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 115920.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.l1 115920t1 \([0, 0, 0, -1623, 49597]\) \(-40535147776/67648175\) \(-789048313200\) \([]\) \(115200\) \(0.97364\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.l1 has rank \(1\).

Complex multiplication

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

Modular form 115920.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 2q^{11} - q^{13} + 2q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display