Properties

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

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Show commands: SageMath
E = EllipticCurve("di1")
 
E.isogeny_class()
 

Elliptic curves in class 44100di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.p1 44100di1 \([0, 0, 0, -441000, 115762500]\) \(-221184/7\) \(-300181423500000000\) \([]\) \(483840\) \(2.1298\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100di1 has rank \(1\).

Complex multiplication

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

Modular form 44100.2.a.di

sage: E.q_eigenform(10)
 
\(q - 3 q^{11} - q^{13} - 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display