Properties

Label 7840.j
Number of curves $1$
Conductor $7840$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 7840.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7840.j1 7840k1 \([0, -1, 0, -14765, -686363]\) \(-738763264/875\) \(-421654016000\) \([]\) \(9216\) \(1.1422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7840.j1 has rank \(1\).

Complex multiplication

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

Modular form 7840.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} - q^{11} + q^{13} - q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display