Properties

Label 4928.bj
Number of curves $1$
Conductor $4928$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 4928.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4928.bj1 4928j1 \([0, 0, 0, 8, 2]\) \(884736/539\) \(-34496\) \([]\) \(576\) \(-0.44008\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4928.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4928.bj do not have complex multiplication.

Modular form 4928.2.a.bj

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