Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 54450.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.u1 54450dp1 \([1, -1, 0, -36563742, -85088819084]\) \(1296633753003985/17006112\) \(70902792243112500000\) \([]\) \(4838400\) \(2.9532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.u1 has rank \(0\).

Complex multiplication

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

Modular form 54450.2.a.u

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