Properties

Label 5220.i
Number of curves $1$
Conductor $5220$
CM no
Rank $1$

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

Elliptic curves in class 5220.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5220.i1 5220h1 \([0, 0, 0, -1991433, 1088227757]\) \(-74881286942075067136/526649727234375\) \(-6142842418461750000\) \([]\) \(109440\) \(2.4384\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5220.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5220.i do not have complex multiplication.

Modular form 5220.2.a.i

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