Properties

Label 38720.dj
Number of curves $1$
Conductor $38720$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dj1")
 
E.isogeny_class()
 

Elliptic curves in class 38720.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38720.dj1 38720t1 \([0, 0, 0, -748, 17072]\) \(-1459161/3125\) \(-99123200000\) \([]\) \(61440\) \(0.79888\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38720.dj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38720.dj do not have complex multiplication.

Modular form 38720.2.a.dj

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} - 3 q^{7} + 6 q^{9} - 4 q^{13} - 3 q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display