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Properties

Label 428400.de
Number of curves $1$
Conductor $428400$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("de1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 428400.de1 has rank \(1\).

Complex multiplication

The elliptic curves in class 428400.de do not have complex multiplication.

Modular form 428400.2.a.de

Copy content sage:E.q_eigenform(10)
 
\(q - q^{7} - q^{11} + 3 q^{13} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 428400.de

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
428400.de1 428400de1 \([0, 0, 0, -189675, 41492250]\) \(-599077107/243712\) \(-307006930944000000\) \([]\) \(3548160\) \(2.0639\) \(\Gamma_0(N)\)-optimal