Properties

Label 227136ch
Number of curves $1$
Conductor $227136$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 227136ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227136.a1 227136ch1 \([0, -1, 0, -7841825, -5917848639]\) \(249395415529/73513818\) \(15720115014363454636032\) \([]\) \(25159680\) \(2.9649\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227136ch1 has rank \(0\).

Complex multiplication

The elliptic curves in class 227136ch do not have complex multiplication.

Modular form 227136.2.a.ch

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - q^{7} + q^{9} - 3 q^{11} + 4 q^{15} - 5 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display