Properties

Label 79560.j
Number of curves $1$
Conductor $79560$
CM no
Rank $2$

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

Elliptic curves in class 79560.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79560.j1 79560r1 \([0, 0, 0, 11652, 259508]\) \(937470577664/698407515\) \(-130339604079360\) \([]\) \(225792\) \(1.3967\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79560.j1 has rank \(2\).

Complex multiplication

The elliptic curves in class 79560.j do not have complex multiplication.

Modular form 79560.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} + 2 q^{11} + q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display