Properties

Label 54080.c
Number of curves $1$
Conductor $54080$
CM no
Rank $1$

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

Elliptic curves in class 54080.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.c1 54080di1 \([0, 0, 0, -694252, -220947896]\) \(44302512384/390625\) \(326292288400000000\) \([]\) \(1597440\) \(2.1841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54080.c do not have complex multiplication.

Modular form 54080.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - 3 q^{7} + 6 q^{9} + 5 q^{11} - 3 q^{15} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display