Properties

Label 119952bt
Number of curves $1$
Conductor $119952$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 119952bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.i1 119952bt1 \([0, 0, 0, -1659, 18074]\) \(13805092/4131\) \(151104973824\) \([]\) \(122880\) \(0.85049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952bt1 has rank \(2\).

Complex multiplication

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

Modular form 119952.2.a.bt

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 4 q^{11} - 3 q^{13} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display