Properties

Label 388080.r
Number of curves $1$
Conductor $388080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 388080.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.r1 388080r1 \([0, 0, 0, -5119241043, 155869767626258]\) \(-861923363555648023441/110929177533556800\) \(-1909490884099695367739257651200\) \([]\) \(553512960\) \(4.5439\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 388080.r do not have complex multiplication.

Modular form 388080.2.a.r

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