Properties

Label 4641.g
Number of curves $1$
Conductor $4641$
CM no
Rank $0$

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

Elliptic curves in class 4641.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4641.g1 4641e1 \([0, 1, 1, -2912, -61465]\) \(-2731787761881088/19171971\) \(-19171971\) \([]\) \(4128\) \(0.57678\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4641.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4641.g do not have complex multiplication.

Modular form 4641.2.a.g

sage: E.q_eigenform(10)
 
\(q + 2q^{2} + q^{3} + 2q^{4} - 3q^{5} + 2q^{6} - q^{7} + q^{9} - 6q^{10} + 2q^{11} + 2q^{12} + q^{13} - 2q^{14} - 3q^{15} - 4q^{16} + q^{17} + 2q^{18} + q^{19} + O(q^{20})\)  Toggle raw display