Properties

Label 15680.e
Number of curves $1$
Conductor $15680$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.e1 15680bd1 [0, 0, 0, -28, 112] [] 4608 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.e1 has rank \(2\).

Complex multiplication

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

Modular form 15680.2.a.e

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