Properties

Label 66654s
Number of curves $1$
Conductor $66654$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 66654s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66654.p1 66654s1 \([1, -1, 0, -52470, 3222544]\) \(279841/84\) \(4795451494667316\) \([]\) \(353280\) \(1.7142\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66654s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66654s do not have complex multiplication.

Modular form 66654.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} + 4 q^{11} + 4 q^{13} - q^{14} + q^{16} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display