Properties

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

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

Elliptic curves in class 97461.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97461.f1 97461q1 \([0, 0, 1, -127659, -17554784]\) \(6441016595550208/511270461\) \(18263092137381\) \([]\) \(675840\) \(1.5911\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461.f1 has rank \(0\).

Complex multiplication

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

Modular form 97461.2.a.f

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