Properties

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

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 439569cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.cp1 439569cp1 \([0, 0, 1, -1904799, -4034205549]\) \(-53248/459\) \(-6588409133488454645139\) \([]\) \(45287424\) \(2.8693\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569cp1 has rank \(0\).

Complex multiplication

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

Modular form 439569.2.a.cp

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