Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 17600.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17600.g1 17600u1 \([0, 0, 0, -400, 4000]\) \(-27648/11\) \(-2816000000\) \([]\) \(13824\) \(0.52208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17600.g1 has rank \(0\).

Complex multiplication

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

Modular form 17600.2.a.g

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