Properties

Label 20400.cg
Number of curves 11
Conductor 2040020400
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 20400.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20400.cg1 20400ds1 [0,1,0,3562,209997][0, 1, 0, 3562, -209997] 2498351450368/110791441712498351450368/11079144171 22158288342000-22158288342000 [][] 4838448384 1.24321.2432 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20400.cg1 has rank 00.

Complex multiplication

The elliptic curves in class 20400.cg do not have complex multiplication.

Modular form 20400.2.a.cg

sage: E.q_eigenform(10)
 
q+q33q7+q93q11q17+7q19+O(q20)q + q^{3} - 3 q^{7} + q^{9} - 3 q^{11} - q^{17} + 7 q^{19} + O(q^{20}) Copy content Toggle raw display