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Properties

Label 402800.bb
Number of curves $1$
Conductor $402800$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bb1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 402800.bb1 has rank \(0\).

Complex multiplication

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

Modular form 402800.2.a.bb

Copy content sage:E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{7} - 2 q^{9} - q^{11} + 6 q^{13} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 402800.bb

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402800.bb1 402800bb1 \([0, 1, 0, -1458, 20963]\) \(-1372000000/1007\) \(-251750000\) \([]\) \(255744\) \(0.54618\) \(\Gamma_0(N)\)-optimal