Properties

Label 4080.y
Number of curves 11
Conductor 40804080
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 4080.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4080.y1 4080bf1 [0,1,0,30,45][0, 1, 0, 30, -45] 180472064/185895180472064/185895 2974320-2974320 [][] 672672 0.071069-0.071069 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4080.y1 has rank 11.

Complex multiplication

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

Modular form 4080.2.a.y

sage: E.q_eigenform(10)
 
q+q3+q53q7+q9q112q13+q15+q17q19+O(q20)q + q^{3} + q^{5} - 3 q^{7} + q^{9} - q^{11} - 2 q^{13} + q^{15} + q^{17} - q^{19} + O(q^{20}) Copy content Toggle raw display