Properties

Label 6080l
Number of curves $1$
Conductor $6080$
CM no
Rank $2$

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

Elliptic curves in class 6080l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6080.g1 6080l1 \([0, -1, 0, -161, 865]\) \(-14172488/475\) \(-15564800\) \([]\) \(1280\) \(0.15427\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6080l1 has rank \(2\).

Complex multiplication

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

Modular form 6080.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} - 2 q^{9} - 5 q^{13} + q^{15} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display