Properties

Label 119952.j
Number of curves $1$
Conductor $119952$
CM no
Rank $0$

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

Elliptic curves in class 119952.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.j1 119952dj1 \([0, 0, 0, -281799, -57578094]\) \(10023392043504/17\) \(4197360384\) \([]\) \(380160\) \(1.5363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 119952.j do not have complex multiplication.

Modular form 119952.2.a.j

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 4 q^{11} - q^{13} + q^{17} + O(q^{20})\) Copy content Toggle raw display