Properties

Label 550.g
Number of curves $1$
Conductor $550$
CM no
Rank $0$

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

Elliptic curves in class 550.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
550.g1 550e1 \([1, -1, 0, -367, 10541]\) \(-2803221/22528\) \(-44000000000\) \([]\) \(880\) \(0.72511\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 550.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 550.g do not have complex multiplication.

Modular form 550.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} - 3 q^{6} + q^{7} - q^{8} + 6 q^{9} - q^{11} + 3 q^{12} - q^{14} + q^{16} + 5 q^{17} - 6 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display