# Properties

 Label 93600ch Number of curves $1$ Conductor $93600$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("ch1")

sage: E.isogeny_class()

## Elliptic curves in class 93600ch

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.j1 93600ch1 $$[0, 0, 0, 70125, 57726250]$$ $$261568120/10024911$$ $$-1461632023800000000$$ $$[]$$ $$1036800$$ $$2.1654$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 93600ch1 has rank $$1$$.

## Complex multiplication

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

## Modular form 93600.2.a.ch

sage: E.q_eigenform(10)

$$q - 4q^{7} - q^{13} + 3q^{19} + O(q^{20})$$