Properties

Label 129600gs
Number of curves $1$
Conductor $129600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gs1")
 
E.isogeny_class()
 

Elliptic curves in class 129600gs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129600.bs1 129600gs1 \([0, 0, 0, -300, 1000]\) \(2304\) \(1296000000\) \([]\) \(53760\) \(0.44470\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129600gs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 129600gs do not have complex multiplication.

Modular form 129600.2.a.gs

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