Properties

Label 4410.j
Number of curves $1$
Conductor $4410$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 4410.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4410.j1 4410g1 \([1, -1, 0, -26910, -1947884]\) \(-1231272543361/230400000\) \(-403275801600000\) \([]\) \(24960\) \(1.5269\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4410.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4410.j do not have complex multiplication.

Modular form 4410.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + 5 q^{11} - 5 q^{13} + q^{16} + 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display