Properties

Label 39984.bh
Number of curves $1$
Conductor $39984$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 39984.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39984.bh1 39984bi1 \([0, -1, 0, -8640, 264384]\) \(7253758561/1193859\) \(11741001560064\) \([]\) \(69120\) \(1.2294\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39984.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 39984.bh do not have complex multiplication.

Modular form 39984.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + 2 q^{11} + q^{13} - q^{15} + q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display