Properties

Label 89280i
Number of curves 11
Conductor 8928089280
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 89280i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
89280.b1 89280i1 [0,0,0,10994508,15794537328][0, 0, 0, -10994508, 15794537328] 28485240894685827/4402018257760-28485240894685827/4402018257760 22713447315535319531520-22713447315535319531520 [][] 96768009676800 3.01873.0187 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 89280i1 has rank 11.

Complex multiplication

The elliptic curves in class 89280i do not have complex multiplication.

Modular form 89280.2.a.i

sage: E.q_eigenform(10)
 
qq55q7+q11+4q136q173q19+O(q20)q - q^{5} - 5 q^{7} + q^{11} + 4 q^{13} - 6 q^{17} - 3 q^{19} + O(q^{20}) Copy content Toggle raw display