# Properties

 Label 92400.ex Number of curves $1$ Conductor $92400$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ex1")

sage: E.isogeny_class()

## Elliptic curves in class 92400.ex

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.ex1 92400gd1 $$[0, 1, 0, 2134792, -1069466412]$$ $$26898633480575/27935373312$$ $$-1117414932480000000000$$ $$[]$$ $$4181760$$ $$2.7255$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 92400.ex1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 92400.ex do not have complex multiplication.

## Modular form 92400.2.a.ex

sage: E.q_eigenform(10)

$$q + q^{3} - q^{7} + q^{9} - q^{11} + 2q^{13} - 6q^{17} + 4q^{19} + O(q^{20})$$