# Properties

 Label 15680.bt Number of curves $1$ Conductor $15680$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bt1")

sage: E.isogeny_class()

## Elliptic curves in class 15680.bt

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.bt1 15680dq1 $$[0, -1, 0, -18195, -1633043]$$ $$-88478050816/102942875$$ $$-775112083256000$$ $$[]$$ $$64512$$ $$1.5511$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680.bt1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 15680.bt do not have complex multiplication.

## Modular form 15680.2.a.bt

sage: E.q_eigenform(10)

$$q - q^{3} + q^{5} - 2q^{9} + 5q^{11} + 5q^{13} - q^{15} + 5q^{17} + O(q^{20})$$