Properties

Label 8880.s
Number of curves $1$
Conductor $8880$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("s1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8880.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8880.s1 8880u1 \([0, 1, 0, 24, 180]\) \(357911/3330\) \(-13639680\) \([]\) \(1920\) \(0.050261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8880.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8880.s do not have complex multiplication.

Modular form 8880.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} + q^{11} + 2q^{13} - q^{15} - 7q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display