Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 54450.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.l1 54450ci1 \([1, -1, 0, -17892, -914864]\) \(287250720625/663552\) \(1463281459200\) \([]\) \(119808\) \(1.2152\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.l1 has rank \(1\).

Complex multiplication

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

Modular form 54450.2.a.l

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