Properties

 Label 60690.bz Number of curves $1$ Conductor $60690$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bz1")

sage: E.isogeny_class()

Elliptic curves in class 60690.bz

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60690.bz1 60690bv1 $$[1, 0, 0, -91, 371]$$ $$-288568081/47250$$ $$-13655250$$ $$[]$$ $$19440$$ $$0.096608$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 60690.bz1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 60690.bz do not have complex multiplication.

Modular form 60690.2.a.bz

sage: E.q_eigenform(10)

$$q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + q^{8} + q^{9} - q^{10} + 2q^{11} + q^{12} + 4q^{13} + q^{14} - q^{15} + q^{16} + q^{18} + 6q^{19} + O(q^{20})$$