Properties

Label 80688f
Number of curves $1$
Conductor $80688$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 80688f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80688.be1 80688f1 \([0, 1, 0, 11207, -1701421]\) \(128000/1107\) \(-1346141541065472\) \([]\) \(322560\) \(1.5843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80688f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 80688f do not have complex multiplication.

Modular form 80688.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{7} + q^{9} - 3 q^{11} + 6 q^{13} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display