Properties

Label 8281.l
Number of curves $1$
Conductor $8281$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8281.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8281.l1 8281i1 \([0, 0, 1, 8281, -188393]\) \(110592/91\) \(-51676101935731\) \([]\) \(32256\) \(1.3191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8281.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8281.l do not have complex multiplication.

Modular form 8281.2.a.l

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{5} - 3 q^{9} - 6 q^{10} + 6 q^{11} - 4 q^{16} - 4 q^{17} - 6 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display