Properties

Label 41280.cd
Number of curves $1$
Conductor $41280$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 41280.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41280.cd1 41280cz1 \([0, 1, 0, 1099, 6099]\) \(8951619584/6046875\) \(-99072000000\) \([]\) \(36864\) \(0.79862\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41280.cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 41280.cd do not have complex multiplication.

Modular form 41280.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} - 5 q^{11} + 3 q^{13} - q^{15} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display