Properties

Label 16562s
Number of curves $1$
Conductor $16562$
CM no
Rank $0$

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

Elliptic curves in class 16562s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16562.b1 16562s1 \([1, -1, 0, -25883818, 50700817012]\) \(-19983597574473/3670016\) \(-352211081711846948864\) \([]\) \(2845440\) \(2.9454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16562s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16562s do not have complex multiplication.

Modular form 16562.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + 3 q^{5} + 3 q^{6} - q^{8} + 6 q^{9} - 3 q^{10} + 4 q^{11} - 3 q^{12} - 9 q^{15} + q^{16} - 2 q^{17} - 6 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display