Properties

Label 95550.lb
Number of curves $1$
Conductor $95550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("lb1")
 
E.isogeny_class()
 

Elliptic curves in class 95550.lb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95550.lb1 95550jd1 \([1, 0, 0, -8143213, 54948684167]\) \(-662989657192009/14097531093750\) \(-1269835333543454589843750\) \([]\) \(22579200\) \(3.3059\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95550.lb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 95550.lb do not have complex multiplication.

Modular form 95550.2.a.lb

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} + 4 q^{11} + q^{12} + q^{13} + q^{16} - 5 q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display