Properties

Label 4704.j
Number of curves $1$
Conductor $4704$
CM no
Rank $1$

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

Elliptic curves in class 4704.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4704.j1 4704r1 \([0, -1, 0, -93, -1035]\) \(-448000/2187\) \(-438939648\) \([]\) \(1344\) \(0.34282\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4704.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4704.j do not have complex multiplication.

Modular form 4704.2.a.j

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