Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 28880.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28880.j1 28880v1 \([0, -1, 0, 2464, -47360]\) \(1118413511/1280000\) \(-1892679680000\) \([]\) \(38016\) \(1.0421\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28880.j1 has rank \(1\).

Complex multiplication

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

Modular form 28880.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} - 2 q^{9} + 3 q^{11} - 6 q^{13} + q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display