Properties

Label 479808u
Number of curves $1$
Conductor $479808$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 479808u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.u1 479808u1 \([0, 0, 0, -594017004, 5572444750544]\) \(1717641340122148/3011499\) \(40641579901815028383744\) \([]\) \(113541120\) \(3.5976\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 479808u1 has rank \(2\).

Complex multiplication

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

Modular form 479808.2.a.u

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