Properties

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

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 229320cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.m1 229320cl1 \([0, 0, 0, 28812, -6790028]\) \(1354752/10985\) \(-21447871098151680\) \([]\) \(1725696\) \(1.8151\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320cl1 has rank \(0\).

Complex multiplication

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

Modular form 229320.2.a.cl

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{11} + q^{13} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display