Properties

Label 23184.u
Number of curves $1$
Conductor $23184$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 23184.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.u1 23184be1 \([0, 0, 0, -243, -1486]\) \(-14348907/322\) \(-35610624\) \([]\) \(5376\) \(0.23735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184.u1 has rank \(0\).

Complex multiplication

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

Modular form 23184.2.a.u

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