Properties

Label 229320cs
Number of curves $1$
Conductor $229320$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("cs1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 229320cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.c1 229320cs1 \([0, 0, 0, -2058, -103243]\) \(-387072/1625\) \(-4046890302000\) \([]\) \(467712\) \(1.1042\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320cs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 229320cs do not have complex multiplication.

Modular form 229320.2.a.cs

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