Properties

Label 5220.i
Number of curves 11
Conductor 52205220
CM no
Rank 11

Related objects

Downloads

Learn more

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][0, 0, 0, -1991433, 1088227757] 74881286942075067136/526649727234375-74881286942075067136/526649727234375 6142842418461750000-6142842418461750000 [][] 109440109440 2.43842.4384 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5220.i1 has rank 11.

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)
 
qq5+3q73q11+3q13q174q19+O(q20)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