Properties

Label 28880.l
Number of curves $1$
Conductor $28880$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 28880.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28880.l1 28880e1 \([0, -1, 0, -1640, 26512]\) \(-34747958/625\) \(-8779520000\) \([]\) \(17920\) \(0.70442\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28880.l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 28880.l do not have complex multiplication.

Modular form 28880.2.a.l

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