Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 44100.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.y1 44100cr1 \([0, 0, 0, -411600, -103483100]\) \(-11468800/243\) \(-163394752439520000\) \([]\) \(423360\) \(2.0933\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100.y1 has rank \(0\).

Complex multiplication

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

Modular form 44100.2.a.y

sage: E.q_eigenform(10)
 
\(q - 2 q^{11} - 2 q^{13} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display