Properties

Label 439569b
Number of curves $1$
Conductor $439569$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
439569.b1 439569b1 [0, 0, 1, -11271, -1836234] [] 3483648 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569b1 has rank \(2\).

Complex multiplication

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

Modular form 439569.2.a.b

sage: E.q_eigenform(10)
 
\( q - 2q^{2} + 2q^{4} - 2q^{5} - 4q^{7} + 4q^{10} - 3q^{11} + 8q^{14} - 4q^{16} - 7q^{19} + O(q^{20}) \)