Properties

Label 39984j
Number of curves $1$
Conductor $39984$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 39984j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39984.g1 39984j1 \([0, -1, 0, 25023, -601299]\) \(57530252288/38336139\) \(-1154613354806016\) \([]\) \(184320\) \(1.5790\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39984j1 has rank \(1\).

Complex multiplication

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

Modular form 39984.2.a.j

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