Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("cg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15600.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.cg1 15600cn1 \([0, 1, 0, -53, -177]\) \(-524288/39\) \(-1248000\) \([]\) \(2688\) \(-0.081479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.cg1 has rank \(0\).

Complex multiplication

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

Modular form 15600.2.a.cg

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