Properties

Label 28224.fw
Number of curves $1$
Conductor $28224$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fw1")
 
E.isogeny_class()
 

Elliptic curves in class 28224.fw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.fw1 28224eu1 \([0, 0, 0, -127596, 17786608]\) \(-1668296/27\) \(-3718138366623744\) \([]\) \(193536\) \(1.7881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.fw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28224.fw do not have complex multiplication.

Modular form 28224.2.a.fw

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{11} + 4 q^{13} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display