Properties

Label 474320fr
Number of curves $1$
Conductor $474320$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fr1")
 
E.isogeny_class()
 

Elliptic curves in class 474320fr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474320.fr1 474320fr1 \([0, 0, 0, 41503, 3195731]\) \(48384/55\) \(-8987173029437680\) \([]\) \(2419200\) \(1.7476\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 474320fr1 has rank \(0\).

Complex multiplication

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

Modular form 474320.2.a.fr

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