Properties

Label 4620.g
Number of curves $1$
Conductor $4620$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 4620.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4620.g1 4620g1 \([0, -1, 0, 6155, -6092975]\) \(100715742101504/62663434246875\) \(-16041839167200000\) \([]\) \(30240\) \(1.7885\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4620.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4620.g do not have complex multiplication.

Modular form 4620.2.a.g

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