# Properties

 Label 100800ji Number of curves $1$ Conductor $100800$ CM no Rank $2$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("ji1")

sage: E.isogeny_class()

## Elliptic curves in class 100800ji

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.t1 100800ji1 $$[0, 0, 0, 2580, 144720]$$ $$10733445/57344$$ $$-10146860236800$$ $$[]$$ $$239616$$ $$1.1778$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 100800ji1 has rank $$2$$.

## Complex multiplication

The elliptic curves in class 100800ji do not have complex multiplication.

## Modular form 100800.2.a.ji

sage: E.q_eigenform(10)

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