Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 119952.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.p1 119952cv1 \([0, 0, 0, -819, -8974]\) \(11211291/68\) \(368492544\) \([]\) \(73728\) \(0.48271\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.p1 has rank \(1\).

Complex multiplication

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

Modular form 119952.2.a.p

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 2 q^{11} - 7 q^{13} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display