Properties

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

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 119952.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.z1 119952r1 \([0, 0, 0, -3030699, -2030774326]\) \(1717641340122148/3011499\) \(5397620769967104\) \([]\) \(2027520\) \(2.2780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.z1 has rank \(1\).

Complex multiplication

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

Modular form 119952.2.a.z

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 4 q^{11} - q^{13} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display