# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ci1")

sage: E.isogeny_class()

## Elliptic curves in class 93600ci

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.e1 93600ci1 $$[0, 0, 0, 7125, -58750]$$ $$274360/169$$ $$-24640200000000$$ $$[]$$ $$259200$$ $$1.2588$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 93600ci1 has rank $$1$$.

## Complex multiplication

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

## Modular form 93600.2.a.ci

sage: E.q_eigenform(10)

$$q - 4q^{7} - 5q^{11} - q^{13} - q^{17} - 7q^{19} + O(q^{20})$$