Properties

Label 784.j
Number of curves $1$
Conductor $784$
CM no
Rank $0$

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

Elliptic curves in class 784.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
784.j1 784f1 [0, 0, 0, -7, -7] [] 48 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 784.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 784.j do not have complex multiplication.

Modular form 784.2.a.j

sage: E.q_eigenform(10)
 
\( q + 3q^{3} + q^{5} + 6q^{9} + q^{11} - 2q^{13} + 3q^{15} - 3q^{17} + 5q^{19} + O(q^{20}) \)