Properties

 Label 3920.bi Number of curves $1$ Conductor $3920$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bi1")

sage: E.isogeny_class()

Elliptic curves in class 3920.bi

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.bi1 3920s1 $$[0, 0, 0, -343, 4802]$$ $$-3024/5$$ $$-7378945280$$ $$[]$$ $$4032$$ $$0.58437$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 3920.bi1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 3920.bi do not have complex multiplication.

Modular form3920.2.a.bi

sage: E.q_eigenform(10)

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