Properties

Label 162288.da
Number of curves $1$
Conductor $162288$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("da1")
 
E.isogeny_class()
 

Elliptic curves in class 162288.da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162288.da1 162288bw1 \([0, 0, 0, 47040, 39239984]\) \(1605632000/93710763\) \(-671845032308846592\) \([]\) \(1216512\) \(2.1004\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162288.da1 has rank \(2\).

Complex multiplication

The elliptic curves in class 162288.da do not have complex multiplication.

Modular form 162288.2.a.da

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