Properties

Label 409101.r
Number of curves $1$
Conductor $409101$
CM no
Rank $0$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("409101.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 409101.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
409101.r1 409101r1 [1, 0, 0, 128988236, -191566866919] [] 130572288 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101.r1 has rank \(0\).

Modular form 409101.2.a.r

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} - q^{4} + 3q^{5} - q^{6} + 3q^{8} + q^{9} - 3q^{10} - q^{12} - 5q^{13} + 3q^{15} - q^{16} - 3q^{17} - q^{18} + O(q^{20}) \)