Properties

Label 8280.j
Number of curves $1$
Conductor $8280$
CM no
Rank $1$

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

Elliptic curves in class 8280.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.j1 8280t1 \([0, 0, 0, 13212, 76788]\) \(1366664500224/804542875\) \(-150147009504000\) \([]\) \(23040\) \(1.4096\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8280.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8280.j do not have complex multiplication.

Modular form 8280.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + 6 q^{11} - 2 q^{13} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display