Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.d1 15680cv1 [0, 0, 0, -28, -98] [] 3840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.d1 has rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.d

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - q^{5} + 6q^{9} + q^{11} + 3q^{13} + 3q^{15} + 3q^{17} - 6q^{19} + O(q^{20}) \)