Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 8880.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8880.l1 8880d1 \([0, -1, 0, -440, 3792]\) \(-4610398322/134865\) \(-276203520\) \([]\) \(3456\) \(0.39864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8880.l1 has rank \(1\).

Complex multiplication

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

Modular form 8880.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - 3 q^{11} + 6 q^{13} - q^{15} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display