Properties

Label 479808.bk
Number of curves $1$
Conductor $479808$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 479808.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.bk1 479808bk1 \([0, 0, 0, -62206284, 193517762704]\) \(-1184052061112257/34349180544\) \(-772275168814707461062656\) \([]\) \(61931520\) \(3.3629\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 479808.bk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 479808.bk do not have complex multiplication.

Modular form 479808.2.a.bk

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