Properties

Label 52416bx
Number of curves $1$
Conductor $52416$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 52416bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52416.ei1 52416bx1 \([0, 0, 0, -4332, 126128]\) \(-47045881/8736\) \(-1669475598336\) \([]\) \(61440\) \(1.0698\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52416bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 52416bx do not have complex multiplication.

Modular form 52416.2.a.bx

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