Properties

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

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Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 28224.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.dt1 28224bj1 \([0, 0, 0, -210, 3598]\) \(-448000/2187\) \(-4999796928\) \([]\) \(10752\) \(0.54555\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.dt1 has rank \(1\).

Complex multiplication

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

Modular form 28224.2.a.dt

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