Properties

Label 200400bn
Number of curves $1$
Conductor $200400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 200400bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.z1 200400bn1 \([0, -1, 0, 9592, -1148688]\) \(1524845951/9739440\) \(-623324160000000\) \([]\) \(774144\) \(1.5206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400bn1 has rank \(1\).

Complex multiplication

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

Modular form 200400.2.a.bn

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