Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 439569.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.g1 439569g1 \([0, 0, 1, 2490891, -10498067694]\) \(692224/19683\) \(-48599580709795914467019\) \([]\) \(47471616\) \(3.0332\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.g1 has rank \(0\).

Complex multiplication

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

Modular form 439569.2.a.g

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