Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 439569.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.bc1 439569bc1 \([1, -1, 1, -539, -10370]\) \(-459\) \(-37663590627\) \([]\) \(336960\) \(0.71812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.bc1 has rank \(1\).

Complex multiplication

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

Modular form 439569.2.a.bc

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