Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 44100.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.w1 44100bs1 \([0, 0, 0, 1440600, -142859500]\) \(401408/243\) \(-200158571738412000000\) \([]\) \(1290240\) \(2.5847\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100.w1 has rank \(0\).

Complex multiplication

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

Modular form 44100.2.a.w

sage: E.q_eigenform(10)
 
\(q - 2 q^{11} - 3 q^{13} - 8 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display