Properties

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

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Show commands: SageMath
E = EllipticCurve("dj1")
 
E.isogeny_class()
 

Elliptic curves in class 54096dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.bu1 54096dj1 \([0, 1, 0, -75525, -9347661]\) \(-98867482624/20696067\) \(-9973234018234368\) \([]\) \(576000\) \(1.7916\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096dj1 has rank \(1\).

Complex multiplication

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

Modular form 54096.2.a.dj

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} + q^{9} + 5 q^{11} + 2 q^{13} - 4 q^{15} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display