Properties

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

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Copy content sage:E = EllipticCurve("v1") E.isogeny_class()
 

Elliptic curves in class 445280.v

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.v1 445280v1 [0,0,0,9317,351384][0, 0, 0, -9317, -351384] 6519744/115-6519744/115 1577681364160-1577681364160 [][] 557568557568 1.13781.1378 Γ0(N)\Gamma_0(N)-optimal

Rank

Copy content sage:E.rank()
 

The elliptic curve 445280.v1 has rank 11.

Complex multiplication

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

Modular form 445280.2.a.v

Copy content sage:E.q_eigenform(10)
 
q+q5q73q9+6q17+6q19+O(q20)q + q^{5} - q^{7} - 3 q^{9} + 6 q^{17} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display