Properties

Label 223146dn
Number of curves $1$
Conductor $223146$
CM no
Rank $1$

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

Elliptic curves in class 223146dn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
223146.bb1 223146dn1 \([1, -1, 0, -5742, -178200]\) \(-244140625/21252\) \(-1822701603492\) \([]\) \(356352\) \(1.0968\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 223146dn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 223146dn do not have complex multiplication.

Modular form 223146.2.a.dn

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - q^{11} + q^{13} + q^{16} + 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display