Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 4928.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4928.a1 4928bf1 \([0, 0, 0, 8, -2]\) \(884736/539\) \(-34496\) \([]\) \(576\) \(-0.44008\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4928.a1 has rank \(1\).

Complex multiplication

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

Modular form 4928.2.a.a

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