Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 44100bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.bb1 44100bc1 \([0, 0, 0, 29400, 416500]\) \(401408/243\) \(-1701319788000000\) \([]\) \(184320\) \(1.6117\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100bc1 has rank \(1\).

Complex multiplication

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

Modular form 44100.2.a.bc

sage: E.q_eigenform(10)
 
\(q - 2 q^{11} + 3 q^{13} + 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display