# Properties

 Label 7098.bd Number of curves $1$ Conductor $7098$ CM no Rank $0$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 7098.bd

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.bd1 7098bc1 $$[1, 0, 0, -771742, 259196612]$$ $$368728437337/2752512$$ $$379457153116274688$$ $$[]$$ $$148512$$ $$2.2035$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 7098.bd1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 7098.bd do not have complex multiplication.

## Modular form7098.2.a.bd

sage: E.q_eigenform(10)

$$q + q^{2} + q^{3} + q^{4} + 2q^{5} + q^{6} + q^{7} + q^{8} + q^{9} + 2q^{10} - 3q^{11} + q^{12} + q^{14} + 2q^{15} + q^{16} - 7q^{17} + q^{18} + 5q^{19} + O(q^{20})$$