Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 4620.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4620.l1 4620m1 \([0, 1, 0, -1964205, 1059396975]\) \(-3273741656681120014336/1733575611796875\) \(-443795356620000000\) \([]\) \(90720\) \(2.3361\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4620.l1 has rank \(1\).

Complex multiplication

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

Modular form 4620.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} + q^{9} + q^{11} - 6 q^{13} + q^{15} - 3 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display