Properties

Label 27584.u
Number of curves $1$
Conductor $27584$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 27584.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27584.u1 27584p1 \([0, 1, 0, -81, -337]\) \(-3631696/431\) \(-7061504\) \([]\) \(3584\) \(0.049828\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27584.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27584.u do not have complex multiplication.

Modular form 27584.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 2 q^{7} - 2 q^{9} + 3 q^{11} - q^{15} + q^{19} + O(q^{20})\) Copy content Toggle raw display