# Properties

 Label 30960bg Number of curves $1$ Conductor $30960$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bg1")

sage: E.isogeny_class()

## Elliptic curves in class 30960bg

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.v1 30960bg1 $$[0, 0, 0, 2277, -10422]$$ $$437245479/268750$$ $$-802483200000$$ $$[]$$ $$30720$$ $$0.97341$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 30960bg1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 30960bg do not have complex multiplication.

## Modular form 30960.2.a.bg

sage: E.q_eigenform(10)

$$q - q^{5} + 3q^{7} - 3q^{13} + 4q^{17} + q^{19} + O(q^{20})$$