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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("be1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 446400.be1 has rank \(1\).

Complex multiplication

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

Modular form 446400.2.a.be

Copy content sage:E.q_eigenform(10)
 
\(q - 4 q^{7} - 3 q^{11} + 2 q^{13} + 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 446400.be

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
446400.be1 446400be1 \([0, 0, 0, -84000, 2540000]\) \(14049280/7533\) \(35145964800000000\) \([]\) \(3686400\) \(1.8661\) \(\Gamma_0(N)\)-optimal