Properties

 Label 30960bq Number of curves $1$ Conductor $30960$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bq1")

sage: E.isogeny_class()

Elliptic curves in class 30960bq

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.b1 30960bq1 $$[0, 0, 0, -2592048, -1606248272]$$ $$-645008376471556096/783675$$ $$-2340041011200$$ $$[]$$ $$368640$$ $$2.0849$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 30960bq1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 30960bq do not have complex multiplication.

Modular form 30960.2.a.bq

sage: E.q_eigenform(10)

$$q - q^{5} - 4q^{7} + q^{11} + 5q^{13} + 3q^{17} + O(q^{20})$$