Properties

Label 97020bv
Number of curves $1$
Conductor $97020$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("bv1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97020bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97020.y1 97020bv1 [0, 0, 0, -2531928, 1551099508] [] 1658880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020bv1 has rank \(1\).

Complex multiplication

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

Modular form 97020.2.a.bv

sage: E.q_eigenform(10)
 
\( q - q^{5} + q^{11} - 2q^{13} - 7q^{17} - 3q^{19} + O(q^{20}) \)