Properties

Label 474320.jg
Number of curves $1$
Conductor $474320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jg1")
 
E.isogeny_class()
 

Elliptic curves in class 474320.jg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474320.jg1 474320jg1 \([0, 0, 0, -41503, -6391462]\) \(-3024/5\) \(-13072251679182080\) \([]\) \(5644800\) \(1.7833\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 474320.jg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 474320.jg do not have complex multiplication.

Modular form 474320.2.a.jg

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