Properties

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

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Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 54096bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.g1 54096bq1 \([0, -1, 0, -63912, -7203216]\) \(-174676879/35328\) \(-5839307686281216\) \([]\) \(483840\) \(1.7478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096bq1 has rank \(1\).

Complex multiplication

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

Modular form 54096.2.a.bq

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - 2 q^{11} + 7 q^{13} + 3 q^{15} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display