Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("is1")
 
E.isogeny_class()
 

Elliptic curves in class 139650.is

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.is1 139650cd1 \([1, 0, 0, 1632812, -643601008]\) \(628805222251722551/597713542447104\) \(-457624430936064000000\) \([]\) \(7902720\) \(2.6515\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.is1 has rank \(1\).

Complex multiplication

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

Modular form 139650.2.a.is

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