Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97461o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97461.e1 97461o1 [0, 0, 1, -10032897, 17704863468] [] 12570624 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461o1 has rank \(0\).

Complex multiplication

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

Modular form 97461.2.a.o

sage: E.q_eigenform(10)
 
\( q - 2q^{2} + 2q^{4} + q^{5} - 2q^{10} - 2q^{11} - q^{13} - 4q^{16} + q^{17} + 7q^{19} + O(q^{20}) \)