Properties

Label 1520.j
Number of curves $1$
Conductor $1520$
CM no
Rank $0$

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

Elliptic curves in class 1520.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1520.j1 1520g1 \([0, 0, 0, -763, -8662]\) \(-11993263569/972800\) \(-3984588800\) \([]\) \(2112\) \(0.58837\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1520.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1520.j do not have complex multiplication.

Modular form 1520.2.a.j

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} + 5 q^{7} + 6 q^{9} + 4 q^{11} - q^{13} - 3 q^{15} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display