Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97461q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97461.f1 97461q1 [0, 0, 1, -127659, -17554784] [] 675840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461q1 has rank \(0\).

Complex multiplication

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

Modular form 97461.2.a.q

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