Properties

Label 4080f
Number of curves 11
Conductor 40804080
CM no
Rank 00

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

Elliptic curves in class 4080f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4080.m1 4080f1 [0,1,0,220,1193][0, -1, 0, -220, -1193] 73934023936/516375-73934023936/516375 8262000-8262000 [][] 960960 0.160760.16076 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4080f1 has rank 00.

Complex multiplication

The elliptic curves in class 4080f do not have complex multiplication.

Modular form 4080.2.a.f

sage: E.q_eigenform(10)
 
qq3+q5+q7+q9+3q114q13q15q17+5q19+O(q20)q - q^{3} + q^{5} + q^{7} + q^{9} + 3 q^{11} - 4 q^{13} - q^{15} - q^{17} + 5 q^{19} + O(q^{20}) Copy content Toggle raw display