Properties

 Label 1110a Number of curves $1$ Conductor $1110$ CM no Rank $1$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("1110.b1")

sage: E.isogeny_class()

Elliptic curves in class 1110a

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1110.b1 1110a1 [1, 1, 0, 2, -2] [] 80 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 1110a1 has rank $$1$$.

Modular form1110.2.a.b

sage: E.q_eigenform(10)

$$q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - q^{11} - q^{12} + 2q^{13} - q^{14} + q^{15} + q^{16} - 7q^{17} - q^{18} - 2q^{19} + O(q^{20})$$