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Properties

Label 446400.hr
Number of curves $1$
Conductor $446400$
CM no
Rank $2$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("hr1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 446400.hr1 has rank \(2\).

Complex multiplication

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

Modular form 446400.2.a.hr

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

Elliptic curves in class 446400.hr

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
446400.hr1 446400hr1 \([0, 0, 0, -285000, 58178750]\) \(3792752640000/28629151\) \(19324676925000000\) \([]\) \(3456000\) \(1.9549\) \(\Gamma_0(N)\)-optimal