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Properties

Label 486720ch
Number of curves $1$
Conductor $486720$
CM no
Rank $1$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 486720ch1 has rank \(1\).

Complex multiplication

The elliptic curves in class 486720ch do not have complex multiplication.

Modular form 486720.2.a.ch

Copy content sage:E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - q^{11} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 486720ch

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
486720.ch1 486720ch1 \([0, 0, 0, -4139148, -20238096112]\) \(-50308609/1105920\) \(-172400285562412801720320\) \([]\) \(37380096\) \(3.1395\) \(\Gamma_0(N)\)-optimal