Properties

Label 17600p
Number of curves $1$
Conductor $17600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 17600p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17600.y1 17600p1 \([0, -1, 0, 17, -163]\) \(512/11\) \(-11000000\) \([]\) \(3456\) \(0.031416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17600p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17600p do not have complex multiplication.

Modular form 17600.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} - 2 q^{9} + q^{11} - 2 q^{13} + 8 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display