Properties

Label 134640.j
Number of curves $1$
Conductor $134640$
CM no
Rank $0$

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

Elliptic curves in class 134640.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.j1 134640es1 \([0, 0, 0, -4695123, -3915791678]\) \(-15333353550269455684/41038903125\) \(-30635377027200000\) \([]\) \(2611200\) \(2.3981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 134640.j do not have complex multiplication.

Modular form 134640.2.a.j

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