Properties

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

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 474320.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474320.cg1 474320cg1 \([0, -1, 0, -14681, 690901]\) \(-2249728/5\) \(-777786141440\) \([]\) \(913920\) \(1.1644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 474320.cg1 has rank \(1\).

Complex multiplication

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

Modular form 474320.2.a.cg

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