Properties

Label 54096bj
Number of curves $1$
Conductor $54096$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 54096bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.p1 54096bj1 \([0, -1, 0, -482176, -129148928]\) \(-25727239787761/101406816\) \(-48866961389912064\) \([]\) \(414720\) \(2.0599\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54096bj do not have complex multiplication.

Modular form 54096.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + q^{13} + q^{15} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display