Properties

Label 15600.bn
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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

Elliptic curves in class 15600.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bn1 15600v1 \([0, 1, 0, 1167, 261963]\) \(351232/59319\) \(-29659500000000\) \([]\) \(57600\) \(1.2643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600.bn do not have complex multiplication.

Modular form 15600.2.a.bn

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5q^{7} + q^{9} - 5q^{11} - q^{13} + 3q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display