Properties

Label 4620i
Number of curves $1$
Conductor $4620$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 4620i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4620.i1 4620i1 \([0, 1, 0, -21, 39]\) \(-4194304/1155\) \(-295680\) \([]\) \(480\) \(-0.23439\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4620i1 has rank \(1\).

Complex multiplication

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

Modular form 4620.2.a.i

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