Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 23184f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.b1 23184f1 \([0, 0, 0, -1812, -29860]\) \(-3525581824/23667\) \(-4416830208\) \([]\) \(26112\) \(0.68585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184f1 has rank \(0\).

Complex multiplication

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

Modular form 23184.2.a.f

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - q^{7} + 3 q^{11} - 2 q^{13} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display