Properties

Label 480240.el
Number of curves $1$
Conductor $480240$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("el1")
 
E.isogeny_class()
 

Elliptic curves in class 480240.el

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
480240.el1 480240el1 \([0, 0, 0, -7392, -243344]\) \(14959673344/90045\) \(268872929280\) \([]\) \(940032\) \(1.0324\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 480240.el1 has rank \(1\).

Complex multiplication

The elliptic curves in class 480240.el do not have complex multiplication.

Modular form 480240.2.a.el

sage: E.q_eigenform(10)
 
\(q + q^{5} + 5 q^{7} - 4 q^{13} - 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display