Properties

Label 3904j
Number of curves $1$
Conductor $3904$
CM no
Rank $1$

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

Elliptic curves in class 3904j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3904.b1 3904j1 \([0, 1, 0, -129, -641]\) \(-912673/61\) \(-15990784\) \([]\) \(1024\) \(0.13426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3904j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3904j do not have complex multiplication.

Modular form 3904.2.a.j

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 3 q^{5} - q^{7} + q^{9} - 5 q^{11} - q^{13} - 6 q^{15} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display