Properties

Label 8280f
Number of curves 11
Conductor 82808280
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 8280f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.a1 8280f1 [0,0,0,68532,30368108][0, 0, 0, 68532, -30368108] 190737654201344/2245153696875190737654201344/2245153696875 418999563525600000-418999563525600000 [][] 7680076800 2.06232.0623 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8280f1 has rank 00.

Complex multiplication

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

Modular form 8280.2.a.f

sage: E.q_eigenform(10)
 
qq53q7+4q113q174q19+O(q20)q - q^{5} - 3 q^{7} + 4 q^{11} - 3 q^{17} - 4 q^{19} + O(q^{20}) Copy content Toggle raw display