Properties

Label 15680.u
Number of curves $1$
Conductor $15680$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.u1 15680de1 [0, 1, 0, -47105, -4592897] [] 80640 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.u1 has rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.u

sage: E.q_eigenform(10)
 
\(q - 2q^{3} + q^{5} + q^{9} - q^{11} + 3q^{13} - 2q^{15} - 2q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display