Properties

Label 6080.a
Number of curves $1$
Conductor $6080$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 6080.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6080.a1 6080f1 \([0, 0, 0, -268, 7408]\) \(-16241202/171475\) \(-22475571200\) \([]\) \(7680\) \(0.66843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6080.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 6080.a do not have complex multiplication.

Modular form 6080.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} - q^{7} + 6 q^{9} - 4 q^{11} - q^{13} + 3 q^{15} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display