Properties

Label 5184.a
Number of curves $1$
Conductor $5184$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 5184.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5184.a1 5184o1 \([0, 0, 0, -12, -80]\) \(-72\) \(-2654208\) \([]\) \(960\) \(-0.085813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5184.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5184.a do not have complex multiplication.

Modular form 5184.2.a.a

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 2 q^{7} + 5 q^{11} + 2 q^{13} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display