Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("fg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 119952.fg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.fg1 119952cf1 \([0, 0, 0, -10584, 428652]\) \(-10838016/289\) \(-3496401199872\) \([]\) \(241920\) \(1.1891\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.fg1 has rank \(1\).

Complex multiplication

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

Modular form 119952.2.a.fg

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