Properties

 Label 8820p Number of curves $1$ Conductor $8820$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("p1")

sage: E.isogeny_class()

Elliptic curves in class 8820p

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
8820.n1 8820p1 [0, 0, 0, 14112, 1963332] [] 40320 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 8820p1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 8820p do not have complex multiplication.

Modular form8820.2.a.p

sage: E.q_eigenform(10)

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