Properties

Label 207936gd
Number of curves 11
Conductor 207936207936
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("gd1")
 
E.isogeny_class()
 

Elliptic curves in class 207936gd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207936.fc1 207936gd1 [0,0,0,710448,164835488][0, 0, 0, 710448, 164835488] 70575104/6173170575104/61731 34687450892337463296-34687450892337463296 [][] 44236804423680 2.43692.4369 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207936gd1 has rank 11.

Complex multiplication

The elliptic curves in class 207936gd do not have complex multiplication.

Modular form 207936.2.a.gd

sage: E.q_eigenform(10)
 
q+q53q75q112q13+q17+O(q20)q + q^{5} - 3 q^{7} - 5 q^{11} - 2 q^{13} + q^{17} + O(q^{20}) Copy content Toggle raw display