Properties

Label 6080.w
Number of curves $1$
Conductor $6080$
CM no
Rank $0$

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

Elliptic curves in class 6080.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6080.w1 6080o1 \([0, 0, 0, -268, -7408]\) \(-16241202/171475\) \(-22475571200\) \([]\) \(7680\) \(0.66843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6080.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6080.w do not have complex multiplication.

Modular form 6080.2.a.w

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} + q^{7} + 6 q^{9} + 4 q^{11} - q^{13} - 3 q^{15} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display