Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("dt1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 119952.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.dt1 119952gi1 \([0, 0, 0, 27074733, -691697282542]\) \(15001431500460925919/1421324083670155776\) \(-207958497660033574807535616\) \([]\) \(36495360\) \(3.7294\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.dt1 has rank \(1\).

Complex multiplication

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

Modular form 119952.2.a.dt

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