Properties

Label 103488gs
Number of curves $1$
Conductor $103488$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("gs1")
 
E.isogeny_class()
 

Elliptic curves in class 103488gs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.n1 103488gs1 \([0, -1, 0, -2417, 1518441]\) \(-12967168/8251551\) \(-994085604965376\) \([]\) \(516096\) \(1.5568\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488gs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 103488gs do not have complex multiplication.

Modular form 103488.2.a.gs

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} + q^{11} - 3 q^{13} + 3 q^{15} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display