Properties

Label 39984.t
Number of curves $1$
Conductor $39984$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 39984.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39984.t1 39984bl1 \([0, -1, 0, -29416, -1997456]\) \(-5841725401/231336\) \(-111478575366144\) \([]\) \(138240\) \(1.4640\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39984.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 39984.t do not have complex multiplication.

Modular form 39984.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 3 q^{11} + 3 q^{13} + q^{15} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display