Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 8550.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8550.c1 8550r1 \([1, -1, 0, -4617, -124659]\) \(-23891790625/1181952\) \(-538526880000\) \([]\) \(15360\) \(1.0123\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8550.c1 has rank \(0\).

Complex multiplication

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

Modular form 8550.2.a.c

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