Properties

Label 20328.b
Number of curves $1$
Conductor $20328$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 20328.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.b1 20328n1 \([0, -1, 0, 40704, 18490617]\) \(350208169805056/7148520419229\) \(-152234890847900784\) \([]\) \(152064\) \(1.9774\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.b1 has rank \(0\).

Complex multiplication

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

Modular form 20328.2.a.b

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