Properties

Label 92416.f
Number of curves $1$
Conductor $92416$
CM no
Rank $1$

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

Elliptic curves in class 92416.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92416.f1 92416i1 \([0, -1, 0, 18291, -623915]\) \(1216\) \(-556517393727488\) \([]\) \(262656\) \(1.5172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92416.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92416.f do not have complex multiplication.

Modular form 92416.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 2 q^{7} - 2 q^{9} + q^{11} + 4 q^{13} + 2 q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display