Properties

Label 20328bb
Number of curves $1$
Conductor $20328$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 20328bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.q1 20328bb1 \([0, 1, 0, 5284, 1148541]\) \(575511296/20376279\) \(-577565139224304\) \([]\) \(80640\) \(1.5124\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328bb1 has rank \(1\).

Complex multiplication

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

Modular form 20328.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} - q^{13} - q^{15} + 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display