Properties

Label 8280j
Number of curves 11
Conductor 82808280
CM no
Rank 11

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

Elliptic curves in class 8280j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.o1 8280j1 [0,0,0,33,101][0, 0, 0, 33, -101] 340736/575340736/575 6706800-6706800 [][] 960960 0.0051176-0.0051176 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8280j1 has rank 11.

Complex multiplication

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

Modular form 8280.2.a.j

sage: E.q_eigenform(10)
 
q+q52q7+q13+4q174q19+O(q20)q + q^{5} - 2 q^{7} + q^{13} + 4 q^{17} - 4 q^{19} + O(q^{20}) Copy content Toggle raw display