Properties

Label 97461f
Number of curves $1$
Conductor $97461$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97461f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97461.c1 97461f1 [0, 0, 1, -6321, -193244] [] 135168 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461f1 has rank \(1\).

Complex multiplication

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

Modular form 97461.2.a.f

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