Properties

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

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Show commands: SageMath
E = EllipticCurve("dn1")
 
E.isogeny_class()
 

Elliptic curves in class 229320dn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.dg1 229320dn1 \([0, 0, 0, 2058, -170471]\) \(14336/195\) \(-13111924578480\) \([]\) \(483840\) \(1.1978\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320dn1 has rank \(0\).

Complex multiplication

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

Modular form 229320.2.a.dn

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{11} + q^{13} + 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display