Properties

Label 39984.ba
Number of curves $1$
Conductor $39984$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 39984.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39984.ba1 39984be1 \([0, -1, 0, 70544, -31785536]\) \(3947714094191/46599266304\) \(-458280298069622784\) \([]\) \(404352\) \(2.0698\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39984.ba1 has rank \(0\).

Complex multiplication

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

Modular form 39984.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 3 q^{11} - 2 q^{13} + q^{15} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display