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Properties

Label 436810y
Number of curves $1$
Conductor $436810$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("y1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 436810y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 436810y do not have complex multiplication.

Modular form 436810.2.a.y

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - 3 q^{7} - q^{8} - 2 q^{9} - q^{10} + q^{12} + 3 q^{14} + q^{15} + q^{16} - 3 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 436810y

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436810.y1 436810y1 \([1, 0, 1, -70403, -7814402]\) \(-616295051/64000\) \(-4007556327104000\) \([]\) \(3040416\) \(1.7332\) \(\Gamma_0(N)\)-optimal