Properties

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

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 119952.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.x1 119952ca1 \([0, 0, 0, -361179, -83108214]\) \(11211291/68\) \(31604176116301824\) \([]\) \(1548288\) \(2.0050\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.x1 has rank \(0\).

Complex multiplication

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

Modular form 119952.2.a.x

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 2 q^{11} + 7 q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display