Properties

Label 28224d
Number of curves $1$
Conductor $28224$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 28224d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.cn1 28224d1 \([0, 0, 0, -588, -7056]\) \(-2646\) \(-8497004544\) \([]\) \(15360\) \(0.61503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224d1 has rank \(1\).

Complex multiplication

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

Modular form 28224.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{5} + 5 q^{11} - 2 q^{13} - 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display