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Properties

Label 462400.cw
Number of curves $1$
Conductor $462400$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("cw1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 462400.cw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 462400.cw do not have complex multiplication.

Modular form 462400.2.a.cw

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{7} - 2 q^{9} + 5 q^{13} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 462400.cw

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462400.cw1 462400cw1 \([0, -1, 0, 1839967, -773228063]\) \(55742968/53125\) \(-656541876800000000000\) \([]\) \(13271040\) \(2.6816\) \(\Gamma_0(N)\)-optimal