Properties

Label 15600.bo
Number of curves $1$
Conductor $15600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 15600.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bo1 15600cq1 \([0, 1, 0, 792, -14412]\) \(34295/78\) \(-124800000000\) \([]\) \(20160\) \(0.81325\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bo1 has rank \(0\).

Complex multiplication

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

Modular form 15600.2.a.bo

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