Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.h1 439569h1 \([0, 0, 1, -146523, 38401236]\) \(-692224/867\) \(-435726088291740987\) \([]\) \(12054528\) \(2.0780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.h1 has rank \(0\).

Complex multiplication

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

Modular form 439569.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2q^{2} + 2q^{4} + 4q^{5} + 3q^{7} - 8q^{10} + 4q^{11} - 6q^{14} - 4q^{16} - 4q^{19} + O(q^{20})\)  Toggle raw display