Properties

Label 5184.be
Number of curves $1$
Conductor $5184$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 5184.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5184.be1 5184t1 \([0, 0, 0, -108, 2160]\) \(-72\) \(-1934917632\) \([]\) \(2880\) \(0.46349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5184.be1 has rank \(0\).

Complex multiplication

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

Modular form 5184.2.a.be

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