Properties

Label 97461.y
Number of curves $1$
Conductor $97461$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97461.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97461.y1 97461s1 [0, 0, 1, -6321, -2824691] [] 847872 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 97461.y do not have complex multiplication.

Modular form 97461.2.a.y

sage: E.q_eigenform(10)
 
\( q + 2q^{2} + 2q^{4} + 3q^{5} + 6q^{10} + 6q^{11} + q^{13} - 4q^{16} - q^{17} + q^{19} + O(q^{20}) \)