Properties

Label 424830r
Number of curves $1$
Conductor $424830$
CM no
Rank $1$

Related objects

Downloads

Learn more about

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

Elliptic curves in class 424830r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
424830.r1 424830r1 [1, 1, 0, -8309053, 9216245053] [] 18869760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 424830r do not have complex multiplication.

Modular form 424830.2.a.r

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} + 2q^{11} - q^{12} - q^{13} + q^{15} + q^{16} - q^{18} + O(q^{20}) \)