Properties

 Label 8280.u Number of curves $1$ Conductor $8280$ CM no Rank $0$

Related objects

Show commands: SageMath
E = EllipticCurve("u1")

E.isogeny_class()

Elliptic curves in class 8280.u

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.u1 8280n1 $$[0, 0, 0, -1812, -29756]$$ $$-3525581824/9315$$ $$-1738402560$$ $$[]$$ $$6144$$ $$0.64805$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 8280.u1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 8280.u do not have complex multiplication.

Modular form8280.2.a.u

sage: E.q_eigenform(10)

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