Properties

Label 139650.jj
Number of curves $1$
Conductor $139650$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("jj1")
 
E.isogeny_class()
 

Elliptic curves in class 139650.jj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.jj1 139650u1 \([1, 0, 0, 70797, -1521003]\) \(6407104400643499/3872252373348\) \(-23717545786756500\) \([]\) \(1513728\) \(1.8313\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.jj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 139650.jj do not have complex multiplication.

Modular form 139650.2.a.jj

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} + 4 q^{11} + q^{12} + q^{13} + q^{16} + 7 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display