Properties

Label 84672hi
Number of curves $1$
Conductor $84672$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hi1")
 
E.isogeny_class()
 

Elliptic curves in class 84672hi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84672.bs1 84672hi1 \([0, 0, 0, -2646, 55566]\) \(-13824\) \(-148203857088\) \([]\) \(95040\) \(0.89308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84672hi1 has rank \(1\).

Complex multiplication

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

Modular form 84672.2.a.hi

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