# Properties

 Label 485520ij Number of curves $1$ Conductor $485520$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("ij1")

sage: E.isogeny_class()

## Elliptic curves in class 485520ij

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.ij1 485520ij1 $$[0, 1, 0, -420880, -119179372]$$ $$-288568081/47250$$ $$-1350060192101376000$$ $$[]$$ $$7931520$$ $$2.2064$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 485520ij1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 485520ij do not have complex multiplication.

## Modular form 485520.2.a.ij

sage: E.q_eigenform(10)

$$q + q^{3} + q^{5} + q^{7} + q^{9} + 2q^{11} + 4q^{13} + q^{15} - 6q^{19} + O(q^{20})$$