Properties

Label 115920.w
Number of curves $1$
Conductor $115920$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 115920.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.w1 115920a1 \([0, 0, 0, 2172, -48452]\) \(163945479168/241600625\) \(-1669943520000\) \([]\) \(153600\) \(1.0308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.w1 has rank \(0\).

Complex multiplication

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

Modular form 115920.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + 3q^{11} - 4q^{13} + 5q^{19} + O(q^{20})\)  Toggle raw display