Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 23184.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.t1 23184y1 \([0, 0, 0, 597, 15066]\) \(212776173/1009792\) \(-111674916864\) \([]\) \(16128\) \(0.80224\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184.t1 has rank \(1\).

Complex multiplication

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

Modular form 23184.2.a.t

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