Properties

Label 20328.w
Number of curves $1$
Conductor $20328$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 20328.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.w1 20328f1 \([0, 1, 0, -260, -1839]\) \(-91625216/9261\) \(-197222256\) \([]\) \(6912\) \(0.33165\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20328.w do not have complex multiplication.

Modular form 20328.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} - q^{13} + q^{15} + 8 q^{17} - 5 q^{19} + O(q^{20})\)  Toggle raw display