Properties

Label 226512.cs
Number of curves 11
Conductor 226512226512
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("cs1")
 
E.isogeny_class()
 

Elliptic curves in class 226512.cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226512.cs1 226512du1 [0,0,0,1485,10098][0, 0, 0, 1485, 10098] 37125/2637125/26 253635452928-253635452928 [][] 152064152064 0.876780.87678 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226512.cs1 has rank 11.

Complex multiplication

The elliptic curves in class 226512.cs do not have complex multiplication.

Modular form 226512.2.a.cs

sage: E.q_eigenform(10)
 
q2q7q13+8q173q19+O(q20)q - 2 q^{7} - q^{13} + 8 q^{17} - 3 q^{19} + O(q^{20}) Copy content Toggle raw display