Properties

Label 44100cj
Number of curves $1$
Conductor $44100$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 44100cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.h1 44100cj1 \([0, 0, 0, -89985, -10389715]\) \(-805661175040/729\) \(-72913705200\) \([]\) \(110592\) \(1.3827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 44100cj do not have complex multiplication.

Modular form 44100.2.a.cj

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} + 2 q^{13} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display