Properties

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

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 44352.co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44352.co1 44352k1 \([0, 0, 0, -108, 1944]\) \(-6912/77\) \(-1551965184\) \([]\) \(12288\) \(0.44557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44352.co1 has rank \(1\).

Complex multiplication

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

Modular form 44352.2.a.co

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