Properties

Label 448844e
Number of curves 11
Conductor 448844448844
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 448844e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
448844.e1 448844e1 [0,1,0,1686565,883359751][0, 1, 0, -1686565, 883359751] 1952382976/112211-1952382976/112211 30493244830486735616-30493244830486735616 [][] 1321920013219200 2.49532.4953 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 448844e1 has rank 11.

Complex multiplication

The elliptic curves in class 448844e do not have complex multiplication.

Modular form 448844.2.a.e

sage: E.q_eigenform(10)
 
q+q3+q54q72q9+q11+4q13+q15+4q176q19+O(q20)q + q^{3} + q^{5} - 4 q^{7} - 2 q^{9} + q^{11} + 4 q^{13} + q^{15} + 4 q^{17} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display