Properties

Label 1425.j
Number of curves $1$
Conductor $1425$
CM no
Rank $0$

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

Elliptic curves in class 1425.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1425.j1 1425i1 [0, 1, 1, -58, 169] [] 432 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1425.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1425.j do not have complex multiplication.

Modular form 1425.2.a.j

sage: E.q_eigenform(10)
 
\( q + 2q^{2} + q^{3} + 2q^{4} + 2q^{6} + 5q^{7} + q^{9} + q^{11} + 2q^{12} - 2q^{13} + 10q^{14} - 4q^{16} + q^{17} + 2q^{18} - q^{19} + O(q^{20}) \)