# Properties

 Label 6762bd Number of curves $1$ Conductor $6762$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bd1")

sage: E.isogeny_class()

## Elliptic curves in class 6762bd

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6762.y1 6762bd1 $$[1, 1, 1, 445703, -76671673]$$ $$83228502970940543/69854999176704$$ $$-8218370798140048896$$ $$[]$$ $$190080$$ $$2.3171$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 6762bd1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 6762bd do not have complex multiplication.

## Modular form6762.2.a.bd

sage: E.q_eigenform(10)

$$q + q^{2} - q^{3} + q^{4} - 3q^{5} - q^{6} + q^{8} + q^{9} - 3q^{10} + 4q^{11} - q^{12} + 3q^{13} + 3q^{15} + q^{16} + 4q^{17} + q^{18} + O(q^{20})$$