# Properties

 Label 93600.r Number of curves $1$ Conductor $93600$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("r1")

sage: E.isogeny_class()

## Elliptic curves in class 93600.r

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.r1 93600db1 $$[0, 0, 0, 1080, 10800]$$ $$13824/13$$ $$-131010048000$$ $$[]$$ $$79872$$ $$0.82039$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 93600.r1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 93600.r do not have complex multiplication.

## Modular form 93600.2.a.r

sage: E.q_eigenform(10)

$$q - 3q^{7} - 3q^{11} - q^{13} + 7q^{17} - 2q^{19} + O(q^{20})$$