Properties

Label 44352.dj
Number of curves $1$
Conductor $44352$
CM no
Rank $1$

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

Elliptic curves in class 44352.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44352.dj1 44352cz1 \([0, 0, 0, 29268, 6886728]\) \(137566156032/1096135733\) \(-22093045383822336\) \([]\) \(258048\) \(1.8176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44352.dj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44352.dj do not have complex multiplication.

Modular form 44352.2.a.dj

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