Properties

Label 445280.x
Number of curves 11
Conductor 445280445280
CM no
Rank 22

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Copy content sage:E = EllipticCurve("x1") E.isogeny_class()
 

Elliptic curves in class 445280.x

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.x1 445280x1 [0,0,0,77,264][0, 0, 0, -77, 264] 6519744/115-6519744/115 890560-890560 [][] 5068850688 0.061193-0.061193 Γ0(N)\Gamma_0(N)-optimal

Rank

Copy content sage:E.rank()
 

The elliptic curve 445280.x1 has rank 22.

Complex multiplication

The elliptic curves in class 445280.x do not have complex multiplication.

Modular form 445280.2.a.x

Copy content sage:E.q_eigenform(10)
 
q+q5+q73q96q176q19+O(q20)q + q^{5} + q^{7} - 3 q^{9} - 6 q^{17} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display