# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("dt1")

sage: E.isogeny_class()

## Elliptic curves in class 15680.dt

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.dt1 15680dw1 $$[0, 0, 0, -80752, 9099104]$$ $$-30211716096/1071875$$ $$-2066104678400000$$ $$[]$$ $$184320$$ $$1.7110$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680.dt1 has rank $$0$$.

## Complex multiplication

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

## Modular form 15680.2.a.dt

sage: E.q_eigenform(10)

$$q + 3q^{3} + q^{5} + 6q^{9} - 5q^{11} - 5q^{13} + 3q^{15} + 7q^{17} + 2q^{19} + O(q^{20})$$