# Properties

 Label 289800.el Number of curves $1$ Conductor $289800$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("el1")

sage: E.isogeny_class()

## Elliptic curves in class 289800.el

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
289800.el1 289800el1 $$[0, 0, 0, -31260, -5296300]$$ $$-144814859264/435654247$$ $$-10162942274016000$$ $$[]$$ $$1559040$$ $$1.7582$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 289800.el1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 289800.el do not have complex multiplication.

## Modular form 289800.2.a.el

sage: E.q_eigenform(10)

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