# Properties

 Label 279174bq Number of curves $1$ Conductor $279174$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bq1")

sage: E.isogeny_class()

## Elliptic curves in class 279174bq

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.bq1 279174bq1 $$[1, 1, 1, 2628738, 1101970875]$$ $$83228502970940543/69854999176704$$ $$-1686129862622635992576$$ $$[]$$ $$19514880$$ $$2.7607$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 279174bq1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 279174bq do not have complex multiplication.

## Modular form 279174.2.a.bq

sage: E.q_eigenform(10)

$$q + q^{2} - q^{3} + q^{4} - 3q^{5} - q^{6} + q^{7} + q^{8} + q^{9} - 3q^{10} - 4q^{11} - q^{12} - 3q^{13} + q^{14} + 3q^{15} + q^{16} + q^{18} + O(q^{20})$$