Properties

Label 13860.y
Number of curves $1$
Conductor $13860$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 13860.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13860.y1 13860y1 \([0, 0, 0, -51672, -4522156]\) \(-81756451446784/24958395\) \(-4657835508480\) \([]\) \(34560\) \(1.4079\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13860.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13860.y do not have complex multiplication.

Modular form 13860.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} + q^{11} + 2q^{13} + 7q^{17} + 3q^{19} + O(q^{20})\)  Toggle raw display