Properties

Label 54450.c
Number of curves $1$
Conductor $54450$
CM no
Rank $1$

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

Elliptic curves in class 54450.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.c1 54450bc1 \([1, -1, 0, -16242, 787166]\) \(101871/2\) \(9303292968750\) \([]\) \(230400\) \(1.2806\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.c1 has rank \(1\).

Complex multiplication

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

Modular form 54450.2.a.c

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