Properties

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

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Show commands: SageMath
E = EllipticCurve("iv1")
 
E.isogeny_class()
 

Elliptic curves in class 474320iv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474320.iv1 474320iv1 \([0, -1, 0, 21740, 4961475]\) \(12544/125\) \(-11322864812182000\) \([]\) \(2737152\) \(1.7616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 474320iv1 has rank \(0\).

Complex multiplication

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

Modular form 474320.2.a.iv

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{5} + q^{9} + 3 q^{13} + 2 q^{15} - 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display