Properties

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

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

Elliptic curves in class 28880i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28880.m1 28880i1 \([0, -1, 0, -880, 10400]\) \(-102053522/625\) \(-462080000\) \([]\) \(14976\) \(0.50152\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28880i1 has rank \(1\).

Complex multiplication

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

Modular form 28880.2.a.i

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