Properties

Label 202160.cg
Number of curves $1$
Conductor $202160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 202160.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202160.cg1 202160bm1 \([0, 1, 0, -59853920, 390827507060]\) \(-17941516933339/39546534860\) \(-52269794464196067639050240\) \([]\) \(43338240\) \(3.6236\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202160.cg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202160.cg do not have complex multiplication.

Modular form 202160.2.a.cg

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} - 2 q^{9} - 2 q^{11} - 6 q^{13} + q^{15} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display