Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("eg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 119952.eg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.eg1 119952ep1 \([0, 0, 0, -2946027, -1954082662]\) \(-3352478521/15606\) \(-13163139352439709696\) \([]\) \(2515968\) \(2.5191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.eg1 has rank \(0\).

Complex multiplication

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

Modular form 119952.2.a.eg

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