Properties

Label 439569.a
Number of curves $1$
Conductor $439569$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 439569.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.a1 439569a1 \([0, 0, 1, -1904799, -1648762268]\) \(-53248/51\) \(-732045459276494960571\) \([]\) \(27316224\) \(2.6997\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.a1 has rank \(0\).

Complex multiplication

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

Modular form 439569.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - 3 q^{5} + 2 q^{7} + 6 q^{10} + 4 q^{11} - 4 q^{14} - 4 q^{16} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display