Properties

Label 8880.j
Number of curves $1$
Conductor $8880$
CM no
Rank $0$

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

Elliptic curves in class 8880.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8880.j1 8880c1 \([0, -1, 0, -122960, 16922592]\) \(-100389630395083682/2018931072975\) \(-4134770837452800\) \([]\) \(74880\) \(1.7888\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8880.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8880.j do not have complex multiplication.

Modular form 8880.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} + q^{9} + q^{11} + 3 q^{13} - q^{15} + 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display