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Properties

Label 446400.bg
Number of curves $1$
Conductor $446400$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bg1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 446400.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 446400.bg do not have complex multiplication.

Modular form 446400.2.a.bg

Copy content sage:E.q_eigenform(10)
 
\(q - 4 q^{7} - 3 q^{11} + 4 q^{13} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 446400.bg

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
446400.bg1 446400bg1 \([0, 0, 0, 4500, 140400]\) \(675000/961\) \(-14347653120000\) \([]\) \(956928\) \(1.2101\) \(\Gamma_0(N)\)-optimal