Properties

Label 54450ck
Number of curves $1$
Conductor $54450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 54450ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.t1 54450ck1 \([1, -1, 0, -176968512, 906167320416]\) \(1296633753003985/17006112\) \(8038951777856039911200\) \([]\) \(10644480\) \(3.3474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450ck1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54450ck do not have complex multiplication.

Modular form 54450.2.a.ck

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} + 6 q^{13} + 3 q^{14} + q^{16} - 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display