Properties

Label 41280.cl
Number of curves $1$
Conductor $41280$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 41280.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41280.cl1 41280da1 \([0, 1, 0, -18581, -984525]\) \(-43304636317696/176326875\) \(-2888939520000\) \([]\) \(98304\) \(1.2472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41280.cl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 41280.cl do not have complex multiplication.

Modular form 41280.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 2 q^{7} + q^{9} + q^{11} + 5 q^{13} - q^{15} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display