Properties

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

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("ku1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100800ku

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100800.jm1 100800ku1 [0, 0, 0, 64500, 18090000] [] 1198080 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800ku1 has rank \(0\).

Complex multiplication

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

Modular form 100800.2.a.ku

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