Properties

Label 52416dj
Number of curves $1$
Conductor $52416$
CM no
Rank $0$

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

Elliptic curves in class 52416dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52416.w1 52416dj1 \([0, 0, 0, -21024, -1175904]\) \(-86044336128/218491\) \(-2609642520576\) \([]\) \(122880\) \(1.2593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52416dj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 52416dj do not have complex multiplication.

Modular form 52416.2.a.dj

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} - 2 q^{11} + q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display