Properties

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

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 15600.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bg1 15600bn1 \([0, -1, 0, 32, -128]\) \(34295/78\) \(-7987200\) \([]\) \(4032\) \(0.0085324\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bg1 has rank \(1\).

Complex multiplication

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

Modular form 15600.2.a.bg

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