Properties

Label 97020be
Number of curves $1$
Conductor $97020$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97020be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97020.x1 97020be1 [0, 0, 0, 3087, -64827] [] 161280 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 97020be do not have complex multiplication.

Modular form 97020.2.a.be

sage: E.q_eigenform(10)
 
\( q - q^{5} + q^{11} - 3q^{13} + 2q^{17} + 2q^{19} + O(q^{20}) \)