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Properties

Label 402800.a
Number of curves $1$
Conductor $402800$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("a1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 402800.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 402800.a do not have complex multiplication.

Modular form 402800.2.a.a

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{3} - 2 q^{7} + q^{9} - 6 q^{11} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 402800.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402800.a1 402800a1 \([0, 1, 0, -51808, 4521588]\) \(6007345507825/16112\) \(41246720000\) \([]\) \(1188864\) \(1.2714\) \(\Gamma_0(N)\)-optimal