Properties

Label 15680cg
Number of curves $1$
Conductor $15680$
CM no
Rank $1$

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

Elliptic curves in class 15680cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.bc1 15680cg1 [0, -1, 0, -3691, 87641] [] 9216 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680cg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15680cg do not have complex multiplication.

Modular form 15680.2.a.cg

sage: E.q_eigenform(10)
 
\( q - q^{3} - q^{5} - 2q^{9} - q^{11} - q^{13} + q^{15} - q^{17} + O(q^{20}) \)