Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 23184.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.v1 23184i1 \([0, 0, 0, -255, 1577]\) \(-157216000/1127\) \(-13145328\) \([]\) \(5760\) \(0.19839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184.v1 has rank \(1\).

Complex multiplication

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

Modular form 23184.2.a.v

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