Properties

Label 119952cr
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 119952cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.bd1 119952cr1 \([0, 0, 0, -518616, -147027636]\) \(-10838016/289\) \(-411348104763740928\) \([]\) \(1693440\) \(2.1620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952cr1 has rank \(1\).

Complex multiplication

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

Modular form 119952.2.a.cr

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