Properties

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

Related objects

Downloads

Learn more

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

Elliptic curves in class 41280.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41280.f1 41280e1 \([0, -1, 0, -18581, 984525]\) \(-43304636317696/176326875\) \(-2888939520000\) \([]\) \(98304\) \(1.2472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41280.f1 has rank \(1\).

Complex multiplication

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

Modular form 41280.2.a.f

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