# Properties

 Label 92736.fi Number of curves $1$ Conductor $92736$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("fi1")

sage: E.isogeny_class()

## Elliptic curves in class 92736.fi

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92736.fi1 92736fr1 $$[0, 0, 0, 5239284, 3097598992]$$ $$83228502970940543/69854999176704$$ $$-13349498231145684271104$$ $$[]$$ $$6082560$$ $$2.9332$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 92736.fi1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 92736.fi do not have complex multiplication.

## Modular form 92736.2.a.fi

sage: E.q_eigenform(10)

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