Properties

Label 28224.bw
Number of curves $1$
Conductor $28224$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bw1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28224.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.bw1 28224bc1 \([0, 0, 0, 4704, 26656]\) \(401408/243\) \(-6968605851648\) \([]\) \(46080\) \(1.1536\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.bw1 has rank \(0\).

Complex multiplication

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

Modular form 28224.2.a.bw

sage: E.q_eigenform(10)
 
\(q - 2q^{5} + 2q^{11} + 3q^{13} - 8q^{17} + q^{19} + O(q^{20})\)  Toggle raw display