Properties

Label 1600.s
Number of curves $1$
Conductor $1600$
CM no
Rank $0$

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

Elliptic curves in class 1600.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1600.s1 1600i1 \([0, 1, 0, -833, 10463]\) \(-5000\) \(-12800000000\) \([]\) \(960\) \(0.66216\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1600.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1600.s do not have complex multiplication.

Modular form 1600.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{7} - 2 q^{9} + 5 q^{11} + 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display