Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 474320.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474320.l1 474320l1 \([0, 0, 0, -1108723, -974241422]\) \(-1459161/3125\) \(-322804582281843200000\) \([]\) \(27878400\) \(2.6242\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 474320.l1 has rank \(0\).

Complex multiplication

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

Modular form 474320.2.a.l

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + 6 q^{9} + 4 q^{13} + 3 q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display