Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("et1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 119952.et

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.et1 119952gc1 \([0, 0, 0, 2373, -19222]\) \(10100279/6936\) \(-1014828466176\) \([]\) \(138240\) \(0.99242\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.et1 has rank \(1\).

Complex multiplication

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

Modular form 119952.2.a.et

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