Properties

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

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Show commands: SageMath
E = EllipticCurve("do1")
 
E.isogeny_class()
 

Elliptic curves in class 15680.do

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.do1 15680cu1 \([0, 0, 0, -28, -112]\) \(-3024/5\) \(-4014080\) \([]\) \(4608\) \(-0.042013\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.do1 has rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.do

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