Properties

Label 211600.bn
Number of curves $1$
Conductor $211600$
CM no
Rank $0$

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

Elliptic curves in class 211600.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.bn1 211600dg1 \([0, -1, 0, 192, -2513]\) \(256\) \(-3041750000\) \([]\) \(98304\) \(0.50238\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.bn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 211600.bn do not have complex multiplication.

Modular form 211600.2.a.bn

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