Properties

Label 392784.y
Number of curves $1$
Conductor $392784$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 392784.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.y1 392784y1 \([0, -1, 0, -272785, 32750509]\) \(178957834281554944/66829503442941\) \(838309291188251904\) \([]\) \(4959360\) \(2.1390\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 392784.y do not have complex multiplication.

Modular form 392784.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 6 q^{13} - q^{15} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display