Properties

Label 4600.j
Number of curves $1$
Conductor $4600$
CM no
Rank $0$

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

Elliptic curves in class 4600.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.j1 4600e1 \([0, 1, 0, -8, -2887]\) \(-256/14375\) \(-3593750000\) \([]\) \(1536\) \(0.51243\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4600.j do not have complex multiplication.

Modular form 4600.2.a.j

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