Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 439569.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.s1 439569s1 \([1, -1, 1, -9158, 150518]\) \(83521/39\) \(39659760930231\) \([]\) \(774144\) \(1.3037\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.s1 has rank \(2\).

Complex multiplication

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

Modular form 439569.2.a.s

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