Properties

Label 23184ca
Number of curves $1$
Conductor $23184$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("ca1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 23184ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.h1 23184ca1 \([0, 0, 0, 1309821, 387199874]\) \(83228502970940543/69854999176704\) \(-208585909861651316736\) \([]\) \(760320\) \(2.5866\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184ca1 has rank \(1\).

Complex multiplication

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

Modular form 23184.2.a.ca

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