Properties

Label 44400bs
Number of curves $1$
Conductor $44400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 44400bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.n1 44400bs1 \([0, -1, 0, -1333, 48637]\) \(-102400000/332667\) \(-851627520000\) \([]\) \(51840\) \(0.97557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44400bs do not have complex multiplication.

Modular form 44400.2.a.bs

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 2 q^{11} - q^{13} + 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display