Properties

Label 15680.o
Number of curves $1$
Conductor $15680$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.o1 15680t1 [0, 1, 0, -961, -13665] [] 11520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.o1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.o

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