Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.w1 15680bw1 [0, 1, 0, -65, 223] [] 2688 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.w1 has rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.w

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