Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ed1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 119952.ed

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.ed1 119952fz1 \([0, 0, 0, -3810387, 2421787858]\) \(7253758561/1193859\) \(1006980160461637791744\) \([]\) \(3870720\) \(2.7517\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.ed1 has rank \(1\).

Complex multiplication

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

Modular form 119952.2.a.ed

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