Properties

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

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 8550.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8550.bm1 8550bi1 \([1, -1, 1, -10730, -454103]\) \(-11993263569/972800\) \(-11080800000000\) \([]\) \(29568\) \(1.2492\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8550.bm1 has rank \(0\).

Complex multiplication

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

Modular form 8550.2.a.bm

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 5 q^{7} + q^{8} + 4 q^{11} + q^{13} + 5 q^{14} + q^{16} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display