Properties

Label 23184.g
Number of curves $1$
Conductor $23184$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 23184.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.g1 23184d1 \([0, 0, 0, 981, -75014]\) \(1888152282/45054401\) \(-2491328157696\) \([]\) \(29440\) \(1.0589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23184.g do not have complex multiplication.

Modular form 23184.2.a.g

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} - 2 q^{11} - 3 q^{13} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display