Properties

Label 200400bb
Number of curves $1$
Conductor $200400$
CM no
Rank $0$

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

Elliptic curves in class 200400bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.i1 200400bb1 \([0, -1, 0, 38552, 1255792]\) \(12376083357091/8520062112\) \(-4362271801344000\) \([]\) \(1297920\) \(1.6896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 200400bb do not have complex multiplication.

Modular form 200400.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 6 q^{11} - 2 q^{13} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display