Properties

Label 35280bj
Number of curves 11
Conductor 3528035280
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 35280bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.s1 35280bj1 [0,0,0,357,16058][0, 0, 0, 357, 16058] 137564/3125137564/3125 114307200000-114307200000 [][] 2880028800 0.802100.80210 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280bj1 has rank 11.

Complex multiplication

The elliptic curves in class 35280bj do not have complex multiplication.

Modular form 35280.2.a.bj

sage: E.q_eigenform(10)
 
qq52q114q13+6q19+O(q20)q - q^{5} - 2 q^{11} - 4 q^{13} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display