Properties

Label 5096.d
Number of curves 11
Conductor 50965096
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 5096.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5096.d1 5096g1 [0,1,0,800,6047][0, -1, 0, -800, -6047] 614656/169614656/169 1558802190415588021904 [][] 26882688 0.663390.66339 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5096.d1 has rank 11.

Complex multiplication

The elliptic curves in class 5096.d do not have complex multiplication.

Modular form 5096.2.a.d

sage: E.q_eigenform(10)
 
qq3+q52q9+5q11+q13q15+3q175q19+O(q20)q - q^{3} + q^{5} - 2 q^{9} + 5 q^{11} + q^{13} - q^{15} + 3 q^{17} - 5 q^{19} + O(q^{20}) Copy content Toggle raw display