# Properties

 Label 93600ek Number of curves $1$ Conductor $93600$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ek1")

sage: E.isogeny_class()

## Elliptic curves in class 93600ek

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.bd1 93600ek1 $$[0, 0, 0, -75000, 7850000]$$ $$1600000/13$$ $$379080000000000$$ $$[]$$ $$518400$$ $$1.6243$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 93600ek1 has rank $$0$$.

## Complex multiplication

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

## Modular form 93600.2.a.ek

sage: E.q_eigenform(10)

$$q - 2q^{7} - 6q^{11} + q^{13} + 6q^{17} - 6q^{19} + O(q^{20})$$