Properties

Label 28880u
Number of curves $1$
Conductor $28880$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 28880u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28880.k1 28880u1 \([0, -1, 0, 8544, 572800]\) \(357911/950\) \(-183064932147200\) \([]\) \(69120\) \(1.4204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28880u1 has rank \(1\).

Complex multiplication

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

Modular form 28880.2.a.u

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