Properties

Label 7840t
Number of curves $1$
Conductor $7840$
CM no
Rank $1$

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

Elliptic curves in class 7840t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7840.y1 7840t1 \([0, 0, 0, 392, -5488]\) \(13824/35\) \(-16866160640\) \([]\) \(9216\) \(0.64617\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7840t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7840t do not have complex multiplication.

Modular form 7840.2.a.t

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} + 6 q^{9} - 3 q^{11} - q^{13} - 3 q^{15} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display