Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 44100.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.f1 44100ds1 \([0, 0, 0, -2249625, -1298714375]\) \(-805661175040/729\) \(-1139276643750000\) \([]\) \(552960\) \(2.1874\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100.f1 has rank \(1\).

Complex multiplication

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

Modular form 44100.2.a.f

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