Properties

Label 100800ks
Number of curves $1$
Conductor $100800$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("ks1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100800ks

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100800.pj1 100800ks1 [0, 0, 0, 580500, -488430000] [] 3594240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800ks1 has rank \(0\).

Complex multiplication

The elliptic curves in class 100800ks do not have complex multiplication.

Modular form 100800.2.a.ks

sage: E.q_eigenform(10)
 
\( q + q^{7} + 4q^{11} + 3q^{13} - 7q^{17} - 6q^{19} + O(q^{20}) \)