Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ec1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28224.ec

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.ec1 28224dp1 \([0, 0, 0, -28812, -2420208]\) \(-2646\) \(-999664087597056\) \([]\) \(107520\) \(1.5880\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.ec1 has rank \(1\).

Complex multiplication

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

Modular form 28224.2.a.ec

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