Properties

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

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Show commands: SageMath
E = EllipticCurve("dk1")
 
E.isogeny_class()
 

Elliptic curves in class 44352.dk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44352.dk1 44352cy1 \([0, 0, 0, -12, 72]\) \(-6912/77\) \(-2128896\) \([]\) \(4096\) \(-0.10374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44352.dk1 has rank \(1\).

Complex multiplication

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

Modular form 44352.2.a.dk

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