Properties

Label 5808bd
Number of curves $1$
Conductor $5808$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 5808bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5808.u1 5808bd1 \([0, 1, 0, 346504, 119424468]\) \(43307231/82944\) \(-8811944944047489024\) \([]\) \(126720\) \(2.3198\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5808bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5808bd do not have complex multiplication.

Modular form 5808.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 4 q^{7} + q^{9} - 3 q^{13} - q^{15} + q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display