Properties

Label 187200cj
Number of curves $1$
Conductor $187200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 187200cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.g1 187200cj1 \([0, 0, 0, 1050, 89750]\) \(175616/4875\) \(-3553875000000\) \([]\) \(368640\) \(1.0883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 187200cj do not have complex multiplication.

Modular form 187200.2.a.cj

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + q^{11} + q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display