Properties

Label 6552.w
Number of curves $1$
Conductor $6552$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 6552.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6552.w1 6552y1 \([0, 0, 0, -997915476, -12133817347948]\) \(-588894491652244161881463808/13658611812026920011\) \(-2549024770807711920132864\) \([]\) \(3548160\) \(3.7958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6552.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6552.w do not have complex multiplication.

Modular form 6552.2.a.w

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{7} - 6 q^{11} - q^{13} + 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display