# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("q1")

sage: E.isogeny_class()

## Elliptic curves in class 93600q

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.bb1 93600q1 $$[0, 0, 0, -7320, -241200]$$ $$-3137785344/2197$$ $$-30371328000$$ $$[]$$ $$92160$$ $$0.94784$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 93600q1 has rank $$1$$.

## Complex multiplication

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

## Modular form 93600.2.a.q

sage: E.q_eigenform(10)

$$q - 3q^{7} + 3q^{11} + q^{13} + 5q^{17} - 6q^{19} + O(q^{20})$$