Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 97461t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97461.d1 97461t1 \([0, 0, 1, -1130871, 409817686]\) \(776703004672/97144749\) \(20004479641693958229\) \([]\) \(4741632\) \(2.4331\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461t1 has rank \(0\).

Complex multiplication

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

Modular form 97461.2.a.t

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - 2 q^{5} + 4 q^{10} + 5 q^{11} + q^{13} - 4 q^{16} - q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display