Properties

Label 8550d
Number of curves $1$
Conductor $8550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 8550d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8550.l1 8550d1 \([1, -1, 0, 333, -4509]\) \(357911/950\) \(-10821093750\) \([]\) \(5760\) \(0.60906\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8550d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8550d do not have complex multiplication.

Modular form 8550.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} + 3 q^{13} - q^{14} + q^{16} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display