Properties

Label 439569.e
Number of curves $1$
Conductor $439569$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
439569.e1 439569e1 [0, 0, 1, -1318707, -655727056] [] 14183424 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 439569.e do not have complex multiplication.

Modular form 439569.2.a.e

sage: E.q_eigenform(10)
 
\( q - 2q^{2} + 2q^{4} + q^{5} - 2q^{7} - 2q^{10} + 3q^{11} + 4q^{14} - 4q^{16} + q^{19} + O(q^{20}) \)