Properties

Label 5184b
Number of curves $1$
Conductor $5184$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 5184b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5184.v1 5184b1 \([0, 0, 0, -12, 112]\) \(-36\) \(-5308416\) \([]\) \(768\) \(-0.029086\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5184b1 has rank \(1\).

Complex multiplication

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

Modular form 5184.2.a.b

sage: E.q_eigenform(10)
 
\(q + q^{5} + 4 q^{11} + 5 q^{13} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display