Properties

Label 4900j
Number of curves $1$
Conductor $4900$
CM no
Rank $1$

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

Elliptic curves in class 4900j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4900.r1 4900j1 \([0, -1, 0, -2858, -58183]\) \(-160000\) \(-16141442800\) \([]\) \(4032\) \(0.79680\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4900j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4900j do not have complex multiplication.

Modular form 4900.2.a.j

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