Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 392784.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.j1 392784j1 \([0, -1, 0, -5749, -177155]\) \(-43614208/3507\) \(-1689989296128\) \([]\) \(497664\) \(1.0928\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784.j1 has rank \(0\).

Complex multiplication

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

Modular form 392784.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} + q^{13} + 2 q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display