Properties

Label 84672kh
Number of curves $1$
Conductor $84672$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("kh1")
 
E.isogeny_class()
 

Elliptic curves in class 84672kh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84672.db1 84672kh1 \([0, 0, 0, -2646, -55566]\) \(-13824\) \(-148203857088\) \([]\) \(95040\) \(0.89308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84672kh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 84672kh do not have complex multiplication.

Modular form 84672.2.a.kh

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 6 q^{11} - 3 q^{13} - 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display