Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.f1 15680dh1 [0, 0, 0, -1372, 38416] [] 32256 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.f1 has rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.f

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + q^{5} + 6q^{9} - 2q^{11} + 6q^{13} - 3q^{15} + 2q^{17} + O(q^{20}) \)