Properties

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

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 44100dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.i1 44100dr1 \([0, 0, 0, -110231625, 445459030625]\) \(-805661175040/729\) \(-134034757860543750000\) \([]\) \(3870720\) \(3.1604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100dr1 has rank \(1\).

Complex multiplication

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

Modular form 44100.2.a.dr

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