Properties

Label 480240e
Number of curves $1$
Conductor $480240$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 480240e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
480240.e1 480240e1 \([0, 0, 0, -45963, 2151738]\) \(3596344921161/1411372000\) \(4214334210048000\) \([]\) \(2661120\) \(1.6967\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 480240e1 has rank \(0\).

Complex multiplication

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

Modular form 480240.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} + 5 q^{11} - 3 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display