Properties

Label 54450.p
Number of curves $1$
Conductor $54450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 54450.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.p1 54450bk1 \([1, -1, 0, -5309442, 5115325716]\) \(-616295051/64000\) \(-1718943866739000000000\) \([]\) \(3421440\) \(2.8139\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.p1 has rank \(0\).

Complex multiplication

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

Modular form 54450.2.a.p

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