Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("ci1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.ci1 439569ci1 \([0, 0, 1, -24762387, 84367516041]\) \(-692224/867\) \(-2103166604501370021720483\) \([]\) \(156708864\) \(3.3605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569ci1 has rank \(0\).

Complex multiplication

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

Modular form 439569.2.a.ci

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