Properties

Label 5635.j
Number of curves $1$
Conductor $5635$
CM no
Rank $0$

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

Elliptic curves in class 5635.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5635.j1 5635l1 \([0, 0, 1, 343, 3687]\) \(37933056/71875\) \(-8456021875\) \([]\) \(3780\) \(0.58947\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5635.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5635.j do not have complex multiplication.

Modular form 5635.2.a.j

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{5} - 3 q^{9} + 2 q^{10} + 2 q^{11} + 2 q^{13} - 4 q^{16} - 3 q^{17} - 6 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display