Properties

Label 44100dd
Number of curves $1$
Conductor $44100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 44100dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.z1 44100dd1 \([0, 0, 0, -8400, 301700]\) \(-11468800/243\) \(-1388832480000\) \([]\) \(60480\) \(1.1204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100dd1 has rank \(1\).

Complex multiplication

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

Modular form 44100.2.a.dd

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