Properties

Label 152880.gs
Number of curves $1$
Conductor $152880$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gs1")
 
E.isogeny_class()
 

Elliptic curves in class 152880.gs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152880.gs1 152880fr1 \([0, 1, 0, 5, 20]\) \(14336/195\) \(-152880\) \([]\) \(17280\) \(-0.32447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152880.gs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 152880.gs do not have complex multiplication.

Modular form 152880.2.a.gs

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} - 3 q^{11} - q^{13} + q^{15} + 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display