Properties

Label 60984bg
Number of curves $1$
Conductor $60984$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.y1 60984bg1 \([0, 0, 0, -3828, -62876]\) \(274717696/83349\) \(1882145776896\) \([]\) \(92160\) \(1.0603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984bg1 has rank \(2\).

Complex multiplication

The elliptic curves in class 60984bg do not have complex multiplication.

Modular form 60984.2.a.bg

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