Properties

Label 28611i
Number of curves $1$
Conductor $28611$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 28611i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28611.e1 28611i1 \([0, 0, 1, 18207, -165814]\) \(37933056/22627\) \(-398151204073227\) \([]\) \(276480\) \(1.4908\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28611i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28611i do not have complex multiplication.

Modular form 28611.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 4 q^{5} + 5 q^{7} - 8 q^{10} - q^{11} + 4 q^{13} - 10 q^{14} - 4 q^{16} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display