# Properties

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

# Related objects

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)

$$q - 3q^{5} + q^{7} + 4q^{11} - 3q^{13} + 4q^{17} + O(q^{20})$$