Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 44100.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.g1 44100ck1 \([0, 0, 0, -4409265, 3563672245]\) \(-805661175040/729\) \(-8578224503074800\) \([]\) \(774144\) \(2.3556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100.g1 has rank \(0\).

Complex multiplication

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

Modular form 44100.2.a.g

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