Properties

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

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 92416.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92416.bk1 92416d1 \([0, 1, 0, -253, 1627]\) \(-8000\) \(-224755712\) \([]\) \(20480\) \(0.33682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92416.bk1 has rank \(1\).

Complex multiplication

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

Modular form 92416.2.a.bk

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